3(2-y+1)=5(y+1)

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Solution for 3(2-y+1)=5(y+1) equation:


Simplifying
3(2 + -1y + 1) = 5(y + 1)

Reorder the terms:
3(2 + 1 + -1y) = 5(y + 1)

Combine like terms: 2 + 1 = 3
3(3 + -1y) = 5(y + 1)
(3 * 3 + -1y * 3) = 5(y + 1)
(9 + -3y) = 5(y + 1)

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

Solving
9 + -3y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
9 + -3y + -5y = 5 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
9 + -8y = 5 + 0
9 + -8y = 5

Add '-9' to each side of the equation.
9 + -9 + -8y = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -8y = 5 + -9
-8y = 5 + -9

Combine like terms: 5 + -9 = -4
-8y = -4

Divide each side by '-8'.
y = 0.5

Simplifying
y = 0.5

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