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

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Solution for 5(y+2)=8-(1-3y) equation:


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

Reorder the terms:
5(2 + y) = 8 + -1(1 + -3y)
(2 * 5 + y * 5) = 8 + -1(1 + -3y)
(10 + 5y) = 8 + -1(1 + -3y)
10 + 5y = 8 + (1 * -1 + -3y * -1)
10 + 5y = 8 + (-1 + 3y)

Combine like terms: 8 + -1 = 7
10 + 5y = 7 + 3y

Solving
10 + 5y = 7 + 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.
10 + 5y + -3y = 7 + 3y + -3y

Combine like terms: 5y + -3y = 2y
10 + 2y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + 2y = 7 + 0
10 + 2y = 7

Add '-10' to each side of the equation.
10 + -10 + 2y = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 7 + -10
2y = 7 + -10

Combine like terms: 7 + -10 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5

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