4(y-2)-3y=2(y-6)

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Solution for 4(y-2)-3y=2(y-6) equation:


Simplifying
4(y + -2) + -3y = 2(y + -6)

Reorder the terms:
4(-2 + y) + -3y = 2(y + -6)
(-2 * 4 + y * 4) + -3y = 2(y + -6)
(-8 + 4y) + -3y = 2(y + -6)

Combine like terms: 4y + -3y = 1y
-8 + 1y = 2(y + -6)

Reorder the terms:
-8 + 1y = 2(-6 + y)
-8 + 1y = (-6 * 2 + y * 2)
-8 + 1y = (-12 + 2y)

Solving
-8 + 1y = -12 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-8 + 1y + -2y = -12 + 2y + -2y

Combine like terms: 1y + -2y = -1y
-8 + -1y = -12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-8 + -1y = -12 + 0
-8 + -1y = -12

Add '8' to each side of the equation.
-8 + 8 + -1y = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = -12 + 8
-1y = -12 + 8

Combine like terms: -12 + 8 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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