5(y+2)=-10(y-1)-15

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Solution for 5(y+2)=-10(y-1)-15 equation: 


Simplifying
5(y + 2) = -10(y + -1) + -15

Reorder the terms:
5(2 + y) = -10(y + -1) + -15
(2 * 5 + y * 5) = -10(y + -1) + -15
(10 + 5y) = -10(y + -1) + -15

Reorder the terms:
10 + 5y = -10(-1 + y) + -15
10 + 5y = (-1 * -10 + y * -10) + -15
10 + 5y = (10 + -10y) + -15

Reorder the terms:
10 + 5y = 10 + -15 + -10y

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

Solving
10 + 5y = -5 + -10y

Solving for variable 'y'.

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

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

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

Combine like terms: -10y + 10y = 0
10 + 15y = -5 + 0
10 + 15y = -5

Add '-10' to each side of the equation.
10 + -10 + 15y = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 15y = -5 + -10
15y = -5 + -10

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

Divide each side by '15'.
y = -1

Simplifying
y = -1

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