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

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


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

Reorder the terms:
-1y + -3(5 + -3y) = 1
-1y + (5 * -3 + -3y * -3) = 1
-1y + (-15 + 9y) = 1

Reorder the terms:
-15 + -1y + 9y = 1

Combine like terms: -1y + 9y = 8y
-15 + 8y = 1

Solving
-15 + 8y = 1

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 + 8y = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 8y = 1 + 15
8y = 1 + 15

Combine like terms: 1 + 15 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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