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

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


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

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

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

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

Solving
-8 + -2y = -4 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-8 + -2y + 6y = -4 + -6y + 6y

Combine like terms: -2y + 6y = 4y
-8 + 4y = -4 + -6y + 6y

Combine like terms: -6y + 6y = 0
-8 + 4y = -4 + 0
-8 + 4y = -4

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

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

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

Divide each side by '4'.
y = 1

Simplifying
y = 1

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