2(y+2)=-5y-45

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Solution for 2(y+2)=-5y-45 equation:


Simplifying
2(y + 2) = -5y + -45

Reorder the terms:
2(2 + y) = -5y + -45
(2 * 2 + y * 2) = -5y + -45
(4 + 2y) = -5y + -45

Reorder the terms:
4 + 2y = -45 + -5y

Solving
4 + 2y = -45 + -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.
4 + 2y + 5y = -45 + -5y + 5y

Combine like terms: 2y + 5y = 7y
4 + 7y = -45 + -5y + 5y

Combine like terms: -5y + 5y = 0
4 + 7y = -45 + 0
4 + 7y = -45

Add '-4' to each side of the equation.
4 + -4 + 7y = -45 + -4

Combine like terms: 4 + -4 = 0
0 + 7y = -45 + -4
7y = -45 + -4

Combine like terms: -45 + -4 = -49
7y = -49

Divide each side by '7'.
y = -7

Simplifying
y = -7

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