8+3(7y-4)=-2(2y-4)+9y

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Solution for 8+3(7y-4)=-2(2y-4)+9y equation:


Simplifying
8 + 3(7y + -4) = -2(2y + -4) + 9y

Reorder the terms:
8 + 3(-4 + 7y) = -2(2y + -4) + 9y
8 + (-4 * 3 + 7y * 3) = -2(2y + -4) + 9y
8 + (-12 + 21y) = -2(2y + -4) + 9y

Combine like terms: 8 + -12 = -4
-4 + 21y = -2(2y + -4) + 9y

Reorder the terms:
-4 + 21y = -2(-4 + 2y) + 9y
-4 + 21y = (-4 * -2 + 2y * -2) + 9y
-4 + 21y = (8 + -4y) + 9y

Combine like terms: -4y + 9y = 5y
-4 + 21y = 8 + 5y

Solving
-4 + 21y = 8 + 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.
-4 + 21y + -5y = 8 + 5y + -5y

Combine like terms: 21y + -5y = 16y
-4 + 16y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + 16y = 8 + 0
-4 + 16y = 8

Add '4' to each side of the equation.
-4 + 4 + 16y = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 16y = 8 + 4
16y = 8 + 4

Combine like terms: 8 + 4 = 12
16y = 12

Divide each side by '16'.
y = 0.75

Simplifying
y = 0.75

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