3(y-10)+1=-5.5(y-8)

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Solution for 3(y-10)+1=-5.5(y-8) equation: 


Simplifying
3(y + -10) + 1 = -5.5(y + -8)

Reorder the terms:
3(-10 + y) + 1 = -5.5(y + -8)
(-10 * 3 + y * 3) + 1 = -5.5(y + -8)
(-30 + 3y) + 1 = -5.5(y + -8)

Reorder the terms:
-30 + 1 + 3y = -5.5(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = -5.5(y + -8)

Reorder the terms:
-29 + 3y = -5.5(-8 + y)
-29 + 3y = (-8 * -5.5 + y * -5.5)
-29 + 3y = (44 + -5.5y)

Solving
-29 + 3y = 44 + -5.5y

Solving for variable 'y'.

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

Add '5.5y' to each side of the equation.
-29 + 3y + 5.5y = 44 + -5.5y + 5.5y

Combine like terms: 3y + 5.5y = 8.5y
-29 + 8.5y = 44 + -5.5y + 5.5y

Combine like terms: -5.5y + 5.5y = 0.0
-29 + 8.5y = 44 + 0.0
-29 + 8.5y = 44

Add '29' to each side of the equation.
-29 + 29 + 8.5y = 44 + 29

Combine like terms: -29 + 29 = 0
0 + 8.5y = 44 + 29
8.5y = 44 + 29

Combine like terms: 44 + 29 = 73
8.5y = 73

Divide each side by '8.5'.
y = 8.588235294

Simplifying
y = 8.588235294

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