4(y+2)=7y-7

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


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

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

Reorder the terms:
8 + 4y = -7 + 7y

Solving
8 + 4y = -7 + 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 + 4y + -7y = -7 + 7y + -7y

Combine like terms: 4y + -7y = -3y
8 + -3y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + -3y = -7 + 0
8 + -3y = -7

Add '-8' to each side of the equation.
8 + -8 + -3y = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = -7 + -8
-3y = -7 + -8

Combine like terms: -7 + -8 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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