1=2y+3(y-8)

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Solution for 1=2y+3(y-8) equation:


Simplifying
1 = 2y + 3(y + -8)

Reorder the terms:
1 = 2y + 3(-8 + y)
1 = 2y + (-8 * 3 + y * 3)
1 = 2y + (-24 + 3y)

Reorder the terms:
1 = -24 + 2y + 3y

Combine like terms: 2y + 3y = 5y
1 = -24 + 5y

Solving
1 = -24 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
1 + -5y = -24 + 5y + -5y

Combine like terms: 5y + -5y = 0
1 + -5y = -24 + 0
1 + -5y = -24

Add '-1' to each side of the equation.
1 + -1 + -5y = -24 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = -24 + -1
-5y = -24 + -1

Combine like terms: -24 + -1 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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