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

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


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

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

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

Reorder the terms:
5 + 8 + 3y + 2y = 3

Combine like terms: 5 + 8 = 13
13 + 3y + 2y = 3

Combine like terms: 3y + 2y = 5y
13 + 5y = 3

Solving
13 + 5y = 3

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 5y = 3 + -13

Combine like terms: 13 + -13 = 0
0 + 5y = 3 + -13
5y = 3 + -13

Combine like terms: 3 + -13 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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