8y+35=3(y-5)

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Solution for 8y+35=3(y-5) equation:


Simplifying
8y + 35 = 3(y + -5)

Reorder the terms:
35 + 8y = 3(y + -5)

Reorder the terms:
35 + 8y = 3(-5 + y)
35 + 8y = (-5 * 3 + y * 3)
35 + 8y = (-15 + 3y)

Solving
35 + 8y = -15 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
35 + 8y + -3y = -15 + 3y + -3y

Combine like terms: 8y + -3y = 5y
35 + 5y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
35 + 5y = -15 + 0
35 + 5y = -15

Add '-35' to each side of the equation.
35 + -35 + 5y = -15 + -35

Combine like terms: 35 + -35 = 0
0 + 5y = -15 + -35
5y = -15 + -35

Combine like terms: -15 + -35 = -50
5y = -50

Divide each side by '5'.
y = -10

Simplifying
y = -10

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