-5y+11=-2(4y+5)

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Solution for -5y+11=-2(4y+5) equation:


Simplifying
-5y + 11 = -2(4y + 5)

Reorder the terms:
11 + -5y = -2(4y + 5)

Reorder the terms:
11 + -5y = -2(5 + 4y)
11 + -5y = (5 * -2 + 4y * -2)
11 + -5y = (-10 + -8y)

Solving
11 + -5y = -10 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
11 + -5y + 8y = -10 + -8y + 8y

Combine like terms: -5y + 8y = 3y
11 + 3y = -10 + -8y + 8y

Combine like terms: -8y + 8y = 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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