3(y-10)+1=-.25(y-8)

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Solution for 3(y-10)+1=-.25(y-8) equation: 


Simplifying
3(y + -10) + 1 = -0.25(y + -8)

Reorder the terms:
3(-10 + y) + 1 = -0.25(y + -8)
(-10 * 3 + y * 3) + 1 = -0.25(y + -8)
(-30 + 3y) + 1 = -0.25(y + -8)

Reorder the terms:
-30 + 1 + 3y = -0.25(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = -0.25(y + -8)

Reorder the terms:
-29 + 3y = -0.25(-8 + y)
-29 + 3y = (-8 * -0.25 + y * -0.25)
-29 + 3y = (2 + -0.25y)

Solving
-29 + 3y = 2 + -0.25y

Solving for variable 'y'.

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

Add '0.25y' to each side of the equation.
-29 + 3y + 0.25y = 2 + -0.25y + 0.25y

Combine like terms: 3y + 0.25y = 3.25y
-29 + 3.25y = 2 + -0.25y + 0.25y

Combine like terms: -0.25y + 0.25y = 0.00
-29 + 3.25y = 2 + 0.00
-29 + 3.25y = 2

Add '29' to each side of the equation.
-29 + 29 + 3.25y = 2 + 29

Combine like terms: -29 + 29 = 0
0 + 3.25y = 2 + 29
3.25y = 2 + 29

Combine like terms: 2 + 29 = 31
3.25y = 31

Divide each side by '3.25'.
y = 9.538461538

Simplifying
y = 9.538461538

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