7-2y=8-3(y+2)-5y

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Solution for 7-2y=8-3(y+2)-5y equation:


Simplifying
7 + -2y = 8 + -3(y + 2) + -5y

Reorder the terms:
7 + -2y = 8 + -3(2 + y) + -5y
7 + -2y = 8 + (2 * -3 + y * -3) + -5y
7 + -2y = 8 + (-6 + -3y) + -5y

Combine like terms: 8 + -6 = 2
7 + -2y = 2 + -3y + -5y

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

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

Solving for variable 'y'.

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

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

Combine like terms: -2y + 8y = 6y
7 + 6y = 2 + -8y + 8y

Combine like terms: -8y + 8y = 0
7 + 6y = 2 + 0
7 + 6y = 2

Add '-7' to each side of the equation.
7 + -7 + 6y = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 6y = 2 + -7
6y = 2 + -7

Combine like terms: 2 + -7 = -5
6y = -5

Divide each side by '6'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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