6y-(-2+3y)=5-(2y+8)

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Solution for 6y-(-2+3y)=5-(2y+8) equation: 


Simplifying
6y + -1(-2 + 3y) = 5 + -1(2y + 8)
6y + (-2 * -1 + 3y * -1) = 5 + -1(2y + 8)
6y + (2 + -3y) = 5 + -1(2y + 8)

Reorder the terms:
2 + 6y + -3y = 5 + -1(2y + 8)

Combine like terms: 6y + -3y = 3y
2 + 3y = 5 + -1(2y + 8)

Reorder the terms:
2 + 3y = 5 + -1(8 + 2y)
2 + 3y = 5 + (8 * -1 + 2y * -1)
2 + 3y = 5 + (-8 + -2y)

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

Solving
2 + 3y = -3 + -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.
2 + 3y + 2y = -3 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
2 + 5y = -3 + 0
2 + 5y = -3

Add '-2' to each side of the equation.
2 + -2 + 5y = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = -3 + -2
5y = -3 + -2

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

Divide each side by '5'.
y = -1

Simplifying
y = -1

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