4y+3(y-5)=-8

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Solution for 4y+3(y-5)=-8 equation: 


Simplifying
4y + 3(y + -5) = -8

Reorder the terms:
4y + 3(-5 + y) = -8
4y + (-5 * 3 + y * 3) = -8
4y + (-15 + 3y) = -8

Reorder the terms:
-15 + 4y + 3y = -8

Combine like terms: 4y + 3y = 7y
-15 + 7y = -8

Solving
-15 + 7y = -8

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 7y = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 7y = -8 + 15
7y = -8 + 15

Combine like terms: -8 + 15 = 7
7y = 7

Divide each side by '7'.
y = 1

Simplifying
y = 1

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