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

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


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

Reorder the terms:
5y + 2 + -3(-2 + -3y) = 2(y + -5)
5y + 2 + (-2 * -3 + -3y * -3) = 2(y + -5)
5y + 2 + (6 + 9y) = 2(y + -5)

Reorder the terms:
2 + 6 + 5y + 9y = 2(y + -5)

Combine like terms: 2 + 6 = 8
8 + 5y + 9y = 2(y + -5)

Combine like terms: 5y + 9y = 14y
8 + 14y = 2(y + -5)

Reorder the terms:
8 + 14y = 2(-5 + y)
8 + 14y = (-5 * 2 + y * 2)
8 + 14y = (-10 + 2y)

Solving
8 + 14y = -10 + 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 + 14y + -2y = -10 + 2y + -2y

Combine like terms: 14y + -2y = 12y
8 + 12y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 12y = -10 + 0
8 + 12y = -10

Add '-8' to each side of the equation.
8 + -8 + 12y = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 12y = -10 + -8
12y = -10 + -8

Combine like terms: -10 + -8 = -18
12y = -18

Divide each side by '12'.
y = -1.5

Simplifying
y = -1.5

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