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

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


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

Reorder the terms:
4(-3 + y) = 6(2y + 2)
(-3 * 4 + y * 4) = 6(2y + 2)
(-12 + 4y) = 6(2y + 2)

Reorder the terms:
-12 + 4y = 6(2 + 2y)
-12 + 4y = (2 * 6 + 2y * 6)
-12 + 4y = (12 + 12y)

Solving
-12 + 4y = 12 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-12 + 4y + -12y = 12 + 12y + -12y

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

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

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

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

Combine like terms: 12 + 12 = 24
-8y = 24

Divide each side by '-8'.
y = -3

Simplifying
y = -3

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