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

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


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

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

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

Solving
-6 + 3y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-6 + 3y + -4y = 8 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-6 + -1y = 8 + 0
-6 + -1y = 8

Add '6' to each side of the equation.
-6 + 6 + -1y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 8 + 6
-1y = 8 + 6

Combine like terms: 8 + 6 = 14
-1y = 14

Divide each side by '-1'.
y = -14

Simplifying
y = -14

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