5y+1=7(y-1)

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


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

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

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

Solving
1 + 5y = -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.
1 + 5y + -7y = -7 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
1 + -2y = -7 + 0
1 + -2y = -7

Add '-1' to each side of the equation.
1 + -1 + -2y = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = -7 + -1
-2y = -7 + -1

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

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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