-5y+11=-2(y+5)

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Solution for -5y+11=-2(y+5) equation:


Simplifying
-5y + 11 = -2(y + 5)

Reorder the terms:
11 + -5y = -2(y + 5)

Reorder the terms:
11 + -5y = -2(5 + y)
11 + -5y = (5 * -2 + y * -2)
11 + -5y = (-10 + -2y)

Solving
11 + -5y = -10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
11 + -5y + 2y = -10 + -2y + 2y

Combine like terms: -5y + 2y = -3y
11 + -3y = -10 + -2y + 2y

Combine like terms: -2y + 2y = 0
11 + -3y = -10 + 0
11 + -3y = -10

Add '-11' to each side of the equation.
11 + -11 + -3y = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3y = -10 + -11
-3y = -10 + -11

Combine like terms: -10 + -11 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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