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

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


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

Reorder the terms:
3(-6 + 2y) = 4(2y + 2)
(-6 * 3 + 2y * 3) = 4(2y + 2)
(-18 + 6y) = 4(2y + 2)

Reorder the terms:
-18 + 6y = 4(2 + 2y)
-18 + 6y = (2 * 4 + 2y * 4)
-18 + 6y = (8 + 8y)

Solving
-18 + 6y = 8 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-18 + 6y + -8y = 8 + 8y + -8y

Combine like terms: 6y + -8y = -2y
-18 + -2y = 8 + 8y + -8y

Combine like terms: 8y + -8y = 0
-18 + -2y = 8 + 0
-18 + -2y = 8

Add '18' to each side of the equation.
-18 + 18 + -2y = 8 + 18

Combine like terms: -18 + 18 = 0
0 + -2y = 8 + 18
-2y = 8 + 18

Combine like terms: 8 + 18 = 26
-2y = 26

Divide each side by '-2'.
y = -13

Simplifying
y = -13

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