3y+8=-2y-7

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Solution for 3y+8=-2y-7 equation:


Simplifying
3y + 8 = -2y + -7

Reorder the terms:
8 + 3y = -2y + -7

Reorder the terms:
8 + 3y = -7 + -2y

Solving
8 + 3y = -7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
8 + 3y + 2y = -7 + -2y + 2y

Combine like terms: 3y + 2y = 5y
8 + 5y = -7 + -2y + 2y

Combine like terms: -2y + 2y = 0
8 + 5y = -7 + 0
8 + 5y = -7

Add '-8' to each side of the equation.
8 + -8 + 5y = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = -7 + -8
5y = -7 + -8

Combine like terms: -7 + -8 = -15
5y = -15

Divide each side by '5'.
y = -3

Simplifying
y = -3

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