3(y+5)-(4y-8)=-2y+10

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Solution for 3(y+5)-(4y-8)=-2y+10 equation: 


Simplifying
3(y + 5) + -1(4y + -8) = -2y + 10

Reorder the terms:
3(5 + y) + -1(4y + -8) = -2y + 10
(5 * 3 + y * 3) + -1(4y + -8) = -2y + 10
(15 + 3y) + -1(4y + -8) = -2y + 10

Reorder the terms:
15 + 3y + -1(-8 + 4y) = -2y + 10
15 + 3y + (-8 * -1 + 4y * -1) = -2y + 10
15 + 3y + (8 + -4y) = -2y + 10

Reorder the terms:
15 + 8 + 3y + -4y = -2y + 10

Combine like terms: 15 + 8 = 23
23 + 3y + -4y = -2y + 10

Combine like terms: 3y + -4y = -1y
23 + -1y = -2y + 10

Reorder the terms:
23 + -1y = 10 + -2y

Solving
23 + -1y = 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.
23 + -1y + 2y = 10 + -2y + 2y

Combine like terms: -1y + 2y = 1y
23 + 1y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
23 + 1y = 10 + 0
23 + 1y = 10

Add '-23' to each side of the equation.
23 + -23 + 1y = 10 + -23

Combine like terms: 23 + -23 = 0
0 + 1y = 10 + -23
1y = 10 + -23

Combine like terms: 10 + -23 = -13
1y = -13

Divide each side by '1'.
y = -13

Simplifying
y = -13

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