3(y-10)+1=7.5(y-8)

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Solution for 3(y-10)+1=7.5(y-8) equation: 


Simplifying
3(y + -10) + 1 = 7.5(y + -8)

Reorder the terms:
3(-10 + y) + 1 = 7.5(y + -8)
(-10 * 3 + y * 3) + 1 = 7.5(y + -8)
(-30 + 3y) + 1 = 7.5(y + -8)

Reorder the terms:
-30 + 1 + 3y = 7.5(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = 7.5(y + -8)

Reorder the terms:
-29 + 3y = 7.5(-8 + y)
-29 + 3y = (-8 * 7.5 + y * 7.5)
-29 + 3y = (-60 + 7.5y)

Solving
-29 + 3y = -60 + 7.5y

Solving for variable 'y'.

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

Add '-7.5y' to each side of the equation.
-29 + 3y + -7.5y = -60 + 7.5y + -7.5y

Combine like terms: 3y + -7.5y = -4.5y
-29 + -4.5y = -60 + 7.5y + -7.5y

Combine like terms: 7.5y + -7.5y = 0.0
-29 + -4.5y = -60 + 0.0
-29 + -4.5y = -60

Add '29' to each side of the equation.
-29 + 29 + -4.5y = -60 + 29

Combine like terms: -29 + 29 = 0
0 + -4.5y = -60 + 29
-4.5y = -60 + 29

Combine like terms: -60 + 29 = -31
-4.5y = -31

Divide each side by '-4.5'.
y = 6.888888889

Simplifying
y = 6.888888889

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