-10y+18=-3(5y-7)+54

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Solution for -10y+18=-3(5y-7)+54 equation:


Simplifying
-10y + 18 = -3(5y + -7) + 54

Reorder the terms:
18 + -10y = -3(5y + -7) + 54

Reorder the terms:
18 + -10y = -3(-7 + 5y) + 54
18 + -10y = (-7 * -3 + 5y * -3) + 54
18 + -10y = (21 + -15y) + 54

Reorder the terms:
18 + -10y = 21 + 54 + -15y

Combine like terms: 21 + 54 = 75
18 + -10y = 75 + -15y

Solving
18 + -10y = 75 + -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 = 75 + -15y + 15y

Combine like terms: -10y + 15y = 5y
18 + 5y = 75 + -15y + 15y

Combine like terms: -15y + 15y = 0
18 + 5y = 75 + 0
18 + 5y = 75

Add '-18' to each side of the equation.
18 + -18 + 5y = 75 + -18

Combine like terms: 18 + -18 = 0
0 + 5y = 75 + -18
5y = 75 + -18

Combine like terms: 75 + -18 = 57
5y = 57

Divide each side by '5'.
y = 11.4

Simplifying
y = 11.4

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