y-5+2(2y-2)=-5(y+3)

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Solution for y-5+2(2y-2)=-5(y+3) equation: 


Simplifying
y + -5 + 2(2y + -2) = -5(y + 3)

Reorder the terms:
y + -5 + 2(-2 + 2y) = -5(y + 3)
y + -5 + (-2 * 2 + 2y * 2) = -5(y + 3)
y + -5 + (-4 + 4y) = -5(y + 3)

Reorder the terms:
-5 + -4 + y + 4y = -5(y + 3)

Combine like terms: -5 + -4 = -9
-9 + y + 4y = -5(y + 3)

Combine like terms: y + 4y = 5y
-9 + 5y = -5(y + 3)

Reorder the terms:
-9 + 5y = -5(3 + y)
-9 + 5y = (3 * -5 + y * -5)
-9 + 5y = (-15 + -5y)

Solving
-9 + 5y = -15 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-9 + 5y + 5y = -15 + -5y + 5y

Combine like terms: 5y + 5y = 10y
-9 + 10y = -15 + -5y + 5y

Combine like terms: -5y + 5y = 0
-9 + 10y = -15 + 0
-9 + 10y = -15

Add '9' to each side of the equation.
-9 + 9 + 10y = -15 + 9

Combine like terms: -9 + 9 = 0
0 + 10y = -15 + 9
10y = -15 + 9

Combine like terms: -15 + 9 = -6
10y = -6

Divide each side by '10'.
y = -0.6

Simplifying
y = -0.6

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