5y+11=7(y-15)

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Solution for 5y+11=7(y-15) equation: 


Simplifying
5y + 11 = 7(y + -15)

Reorder the terms:
11 + 5y = 7(y + -15)

Reorder the terms:
11 + 5y = 7(-15 + y)
11 + 5y = (-15 * 7 + y * 7)
11 + 5y = (-105 + 7y)

Solving
11 + 5y = -105 + 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.
11 + 5y + -7y = -105 + 7y + -7y

Combine like terms: 5y + -7y = -2y
11 + -2y = -105 + 7y + -7y

Combine like terms: 7y + -7y = 0
11 + -2y = -105 + 0
11 + -2y = -105

Add '-11' to each side of the equation.
11 + -11 + -2y = -105 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = -105 + -11
-2y = -105 + -11

Combine like terms: -105 + -11 = -116
-2y = -116

Divide each side by '-2'.
y = 58

Simplifying
y = 58

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