5-3(y+1)=-y+20

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Solution for 5-3(y+1)=-y+20 equation:


Simplifying
5 + -3(y + 1) = -1y + 20

Reorder the terms:
5 + -3(1 + y) = -1y + 20
5 + (1 * -3 + y * -3) = -1y + 20
5 + (-3 + -3y) = -1y + 20

Combine like terms: 5 + -3 = 2
2 + -3y = -1y + 20

Reorder the terms:
2 + -3y = 20 + -1y

Solving
2 + -3y = 20 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
2 + -3y + y = 20 + -1y + y

Combine like terms: -3y + y = -2y
2 + -2y = 20 + -1y + y

Combine like terms: -1y + y = 0
2 + -2y = 20 + 0
2 + -2y = 20

Add '-2' to each side of the equation.
2 + -2 + -2y = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -2y = 20 + -2
-2y = 20 + -2

Combine like terms: 20 + -2 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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