y+4(y-2)=9y-2(y-4)

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


Simplifying
y + 4(y + -2) = 9y + -2(y + -4)

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

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

Combine like terms: y + 4y = 5y
-8 + 5y = 9y + -2(y + -4)

Reorder the terms:
-8 + 5y = 9y + -2(-4 + y)
-8 + 5y = 9y + (-4 * -2 + y * -2)
-8 + 5y = 9y + (8 + -2y)

Reorder the terms:
-8 + 5y = 8 + 9y + -2y

Combine like terms: 9y + -2y = 7y
-8 + 5y = 8 + 7y

Solving
-8 + 5y = 8 + 7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7y' to each side of the equation.
-8 + 5y + -7y = 8 + 7y + -7y

Combine like terms: 5y + -7y = -2y
-8 + -2y = 8 + 7y + -7y

Combine like terms: 7y + -7y = 0
-8 + -2y = 8 + 0
-8 + -2y = 8

Add '8' to each side of the equation.
-8 + 8 + -2y = 8 + 8

Combine like terms: -8 + 8 = 0
0 + -2y = 8 + 8
-2y = 8 + 8

Combine like terms: 8 + 8 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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