3y+5(y-5)=-9

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Solution for 3y+5(y-5)=-9 equation:


Simplifying
3y + 5(y + -5) = -9

Reorder the terms:
3y + 5(-5 + y) = -9
3y + (-5 * 5 + y * 5) = -9
3y + (-25 + 5y) = -9

Reorder the terms:
-25 + 3y + 5y = -9

Combine like terms: 3y + 5y = 8y
-25 + 8y = -9

Solving
-25 + 8y = -9

Solving for variable 'y'.

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

Add '25' to each side of the equation.
-25 + 25 + 8y = -9 + 25

Combine like terms: -25 + 25 = 0
0 + 8y = -9 + 25
8y = -9 + 25

Combine like terms: -9 + 25 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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