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

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


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

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

Remove parenthesis around (1 + 5y)
1 + 5y = (3y + -7)

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

Remove parenthesis around (-7 + 3y)
1 + 5y = -7 + 3y

Solving
1 + 5y = -7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
1 + 5y + -3y = -7 + 3y + -3y

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

Combine like terms: 3y + -3y = 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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