Answer
y=1
Work Step by Step
Simplifying
4y + 7 + -3(2y + 3) = 4(3y + -4) + -7y + 7
Reorder the terms:
4y + 7 + -3(3 + 2y) = 4(3y + -4) + -7y + 7
4y + 7 + (3 * -3 + 2y * -3) = 4(3y + -4) + -7y + 7
4y + 7 + (-9 + -6y) = 4(3y + -4) + -7y + 7
Reorder the terms:
7 + -9 + 4y + -6y = 4(3y + -4) + -7y + 7
Combine like terms: 7 + -9 = -2
-2 + 4y + -6y = 4(3y + -4) + -7y + 7
Combine like terms: 4y + -6y = -2y
-2 + -2y = 4(3y + -4) + -7y + 7
Reorder the terms:
-2 + -2y = 4(-4 + 3y) + -7y + 7
-2 + -2y = (-4 * 4 + 3y * 4) + -7y + 7
-2 + -2y = (-16 + 12y) + -7y + 7
Reorder the terms:
-2 + -2y = -16 + 7 + 12y + -7y
Combine like terms: -16 + 7 = -9
-2 + -2y = -9 + 12y + -7y
Combine like terms: 12y + -7y = 5y
-2 + -2y = -9 + 5y
Solving
-2 + -2y = -9 + 5y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5y' to each side of the equation.
-2 + -2y + -5y = -9 + 5y + -5y
Combine like terms: -2y + -5y = -7y
-2 + -7y = -9 + 5y + -5y
Combine like terms: 5y + -5y = 0
-2 + -7y = -9 + 0
-2 + -7y = -9
Add '2' to each side of the equation.
-2 + 2 + -7y = -9 + 2
Combine like terms: -2 + 2 = 0
0 + -7y = -9 + 2
-7y = -9 + 2
Combine like terms: -9 + 2 = -7
-7y = -7
Divide each side by '-7'.
y = 1
Simplifying
y = 1
