-10y+18=-3(5y-7)-8

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Solution for -10y+18=-3(5y-7)-8 equation: 


Simplifying
-10y + 18 = -3(5y + -7) + -8

Reorder the terms:
18 + -10y = -3(5y + -7) + -8

Reorder the terms:
18 + -10y = -3(-7 + 5y) + -8
18 + -10y = (-7 * -3 + 5y * -3) + -8
18 + -10y = (21 + -15y) + -8

Reorder the terms:
18 + -10y = 21 + -8 + -15y

Combine like terms: 21 + -8 = 13
18 + -10y = 13 + -15y

Solving
18 + -10y = 13 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
18 + -10y + 15y = 13 + -15y + 15y

Combine like terms: -10y + 15y = 5y
18 + 5y = 13 + -15y + 15y

Combine like terms: -15y + 15y = 0
18 + 5y = 13 + 0
18 + 5y = 13

Add '-18' to each side of the equation.
18 + -18 + 5y = 13 + -18

Combine like terms: 18 + -18 = 0
0 + 5y = 13 + -18
5y = 13 + -18

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

Divide each side by '5'.
y = -1

Simplifying
y = -1

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