4y-2(y-1)=9y+2

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Solution for 4y-2(y-1)=9y+2 equation:


Simplifying
4y + -2(y + -1) = 9y + 2

Reorder the terms:
4y + -2(-1 + y) = 9y + 2
4y + (-1 * -2 + y * -2) = 9y + 2
4y + (2 + -2y) = 9y + 2

Reorder the terms:
2 + 4y + -2y = 9y + 2

Combine like terms: 4y + -2y = 2y
2 + 2y = 9y + 2

Reorder the terms:
2 + 2y = 2 + 9y

Add '-2' to each side of the equation.
2 + -2 + 2y = 2 + -2 + 9y

Combine like terms: 2 + -2 = 0
0 + 2y = 2 + -2 + 9y
2y = 2 + -2 + 9y

Combine like terms: 2 + -2 = 0
2y = 0 + 9y
2y = 9y

Solving
2y = 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
2y + -9y = 9y + -9y

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

Combine like terms: 9y + -9y = 0
-7y = 0

Divide each side by '-7'.
y = 0

Simplifying
y = 0

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