7(y-1)-1=2+5y+3

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Solution for 7(y-1)-1=2+5y+3 equation:


Simplifying
7(y + -1) + -1 = 2 + 5y + 3

Reorder the terms:
7(-1 + y) + -1 = 2 + 5y + 3
(-1 * 7 + y * 7) + -1 = 2 + 5y + 3
(-7 + 7y) + -1 = 2 + 5y + 3

Reorder the terms:
-7 + -1 + 7y = 2 + 5y + 3

Combine like terms: -7 + -1 = -8
-8 + 7y = 2 + 5y + 3

Reorder the terms:
-8 + 7y = 2 + 3 + 5y

Combine like terms: 2 + 3 = 5
-8 + 7y = 5 + 5y

Solving
-8 + 7y = 5 + 5y

Solving for variable 'y'.

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

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

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

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

Add '8' to each side of the equation.
-8 + 8 + 2y = 5 + 8

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

Combine like terms: 5 + 8 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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