(7y+10)=(13y-56)

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Solution for (7y+10)=(13y-56) equation:


Simplifying
(7y + 10) = (13y + -56)

Reorder the terms:
(10 + 7y) = (13y + -56)

Remove parenthesis around (10 + 7y)
10 + 7y = (13y + -56)

Reorder the terms:
10 + 7y = (-56 + 13y)

Remove parenthesis around (-56 + 13y)
10 + 7y = -56 + 13y

Solving
10 + 7y = -56 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
10 + 7y + -13y = -56 + 13y + -13y

Combine like terms: 7y + -13y = -6y
10 + -6y = -56 + 13y + -13y

Combine like terms: 13y + -13y = 0
10 + -6y = -56 + 0
10 + -6y = -56

Add '-10' to each side of the equation.
10 + -10 + -6y = -56 + -10

Combine like terms: 10 + -10 = 0
0 + -6y = -56 + -10
-6y = -56 + -10

Combine like terms: -56 + -10 = -66
-6y = -66

Divide each side by '-6'.
y = 11

Simplifying
y = 11

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