4(2y-2)=7(y+3)

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Solution for 4(2y-2)=7(y+3) equation:


Simplifying
4(2y + -2) = 7(y + 3)

Reorder the terms:
4(-2 + 2y) = 7(y + 3)
(-2 * 4 + 2y * 4) = 7(y + 3)
(-8 + 8y) = 7(y + 3)

Reorder the terms:
-8 + 8y = 7(3 + y)
-8 + 8y = (3 * 7 + y * 7)
-8 + 8y = (21 + 7y)

Solving
-8 + 8y = 21 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-8 + 8y + -7y = 21 + 7y + -7y

Combine like terms: 8y + -7y = 1y
-8 + 1y = 21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-8 + 1y = 21 + 0
-8 + 1y = 21

Add '8' to each side of the equation.
-8 + 8 + 1y = 21 + 8

Combine like terms: -8 + 8 = 0
0 + 1y = 21 + 8
1y = 21 + 8

Combine like terms: 21 + 8 = 29
1y = 29

Divide each side by '1'.
y = 29

Simplifying
y = 29

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