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

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


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

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

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

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

Reorder the terms:
-29 + 3y = 8 + -1y

Solving
-29 + 3y = 8 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-29 + 3y + y = 8 + -1y + y

Combine like terms: 3y + y = 4y
-29 + 4y = 8 + -1y + y

Combine like terms: -1y + y = 0
-29 + 4y = 8 + 0
-29 + 4y = 8

Add '29' to each side of the equation.
-29 + 29 + 4y = 8 + 29

Combine like terms: -29 + 29 = 0
0 + 4y = 8 + 29
4y = 8 + 29

Combine like terms: 8 + 29 = 37
4y = 37

Divide each side by '4'.
y = 9.25

Simplifying
y = 9.25

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