5=3(y+3)-5y

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


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

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

Combine like terms: 3y + -5y = -2y
5 = 9 + -2y

Solving
5 = 9 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
5 + 2y = 9 + -2y + 2y

Combine like terms: -2y + 2y = 0
5 + 2y = 9 + 0
5 + 2y = 9

Add '-5' to each side of the equation.
5 + -5 + 2y = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 9 + -5
2y = 9 + -5

Combine like terms: 9 + -5 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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