5(y+6)+3y=-2

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Solution for 5(y+6)+3y=-2 equation:


Simplifying
5(y + 6) + 3y = -2

Reorder the terms:
5(6 + y) + 3y = -2
(6 * 5 + y * 5) + 3y = -2
(30 + 5y) + 3y = -2

Combine like terms: 5y + 3y = 8y
30 + 8y = -2

Solving
30 + 8y = -2

Solving for variable 'y'.

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

Add '-30' to each side of the equation.
30 + -30 + 8y = -2 + -30

Combine like terms: 30 + -30 = 0
0 + 8y = -2 + -30
8y = -2 + -30

Combine like terms: -2 + -30 = -32
8y = -32

Divide each side by '8'.
y = -4

Simplifying
y = -4

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