3(y-10)+1=-2(y+8)

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Solution for 3(y-10)+1=-2(y+8) equation: 


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

Reorder the terms:
3(-10 + y) + 1 = -2(y + 8)
(-10 * 3 + y * 3) + 1 = -2(y + 8)
(-30 + 3y) + 1 = -2(y + 8)

Reorder the terms:
-30 + 1 + 3y = -2(y + 8)

Combine like terms: -30 + 1 = -29
-29 + 3y = -2(y + 8)

Reorder the terms:
-29 + 3y = -2(8 + y)
-29 + 3y = (8 * -2 + y * -2)
-29 + 3y = (-16 + -2y)

Solving
-29 + 3y = -16 + -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.
-29 + 3y + 2y = -16 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-29 + 5y = -16 + -2y + 2y

Combine like terms: -2y + 2y = 0
-29 + 5y = -16 + 0
-29 + 5y = -16

Add '29' to each side of the equation.
-29 + 29 + 5y = -16 + 29

Combine like terms: -29 + 29 = 0
0 + 5y = -16 + 29
5y = -16 + 29

Combine like terms: -16 + 29 = 13
5y = 13

Divide each side by '5'.
y = 2.6

Simplifying
y = 2.6

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