3y+5(y+3)=5y

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


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

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

Reorder the terms:
15 + 3y + 5y = 5y

Combine like terms: 3y + 5y = 8y
15 + 8y = 5y

Solving
15 + 8y = 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.
15 + 8y + -5y = 5y + -5y

Combine like terms: 8y + -5y = 3y
15 + 3y = 5y + -5y

Combine like terms: 5y + -5y = 0
15 + 3y = 0

Add '-15' to each side of the equation.
15 + -15 + 3y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 3y = 0 + -15
3y = 0 + -15

Combine like terms: 0 + -15 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5

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