7(y-1)=2y+8

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Solution for 7(y-1)=2y+8 equation:


Simplifying
7(y + -1) = 2y + 8

Reorder the terms:
7(-1 + y) = 2y + 8
(-1 * 7 + y * 7) = 2y + 8
(-7 + 7y) = 2y + 8

Reorder the terms:
-7 + 7y = 8 + 2y

Solving
-7 + 7y = 8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-7 + 7y + -2y = 8 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-7 + 5y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-7 + 5y = 8 + 0
-7 + 5y = 8

Add '7' to each side of the equation.
-7 + 7 + 5y = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5y = 8 + 7
5y = 8 + 7

Combine like terms: 8 + 7 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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