3(y-10)+1=-23(y-8)

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Solution for 3(y-10)+1=-23(y-8) equation: 


Simplifying
3(y + -10) + 1 = -23(y + -8)

Reorder the terms:
3(-10 + y) + 1 = -23(y + -8)
(-10 * 3 + y * 3) + 1 = -23(y + -8)
(-30 + 3y) + 1 = -23(y + -8)

Reorder the terms:
-30 + 1 + 3y = -23(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = -23(y + -8)

Reorder the terms:
-29 + 3y = -23(-8 + y)
-29 + 3y = (-8 * -23 + y * -23)
-29 + 3y = (184 + -23y)

Solving
-29 + 3y = 184 + -23y

Solving for variable 'y'.

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

Add '23y' to each side of the equation.
-29 + 3y + 23y = 184 + -23y + 23y

Combine like terms: 3y + 23y = 26y
-29 + 26y = 184 + -23y + 23y

Combine like terms: -23y + 23y = 0
-29 + 26y = 184 + 0
-29 + 26y = 184

Add '29' to each side of the equation.
-29 + 29 + 26y = 184 + 29

Combine like terms: -29 + 29 = 0
0 + 26y = 184 + 29
26y = 184 + 29

Combine like terms: 184 + 29 = 213
26y = 213

Divide each side by '26'.
y = 8.192307692

Simplifying
y = 8.192307692

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