-17y-5(-6y-20)=10+18y

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Solution for -17y-5(-6y-20)=10+18y equation:


Simplifying
-17y + -5(-6y + -20) = 10 + 18y

Reorder the terms:
-17y + -5(-20 + -6y) = 10 + 18y
-17y + (-20 * -5 + -6y * -5) = 10 + 18y
-17y + (100 + 30y) = 10 + 18y

Reorder the terms:
100 + -17y + 30y = 10 + 18y

Combine like terms: -17y + 30y = 13y
100 + 13y = 10 + 18y

Solving
100 + 13y = 10 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
100 + 13y + -18y = 10 + 18y + -18y

Combine like terms: 13y + -18y = -5y
100 + -5y = 10 + 18y + -18y

Combine like terms: 18y + -18y = 0
100 + -5y = 10 + 0
100 + -5y = 10

Add '-100' to each side of the equation.
100 + -100 + -5y = 10 + -100

Combine like terms: 100 + -100 = 0
0 + -5y = 10 + -100
-5y = 10 + -100

Combine like terms: 10 + -100 = -90
-5y = -90

Divide each side by '-5'.
y = 18

Simplifying
y = 18

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