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

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


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

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

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

Combine like terms: 5y + 3y = 8y
-9 + 8y = 5(y + 1)

Reorder the terms:
-9 + 8y = 5(1 + y)
-9 + 8y = (1 * 5 + y * 5)
-9 + 8y = (5 + 5y)

Solving
-9 + 8y = 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 + 8y + -5y = 5 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-9 + 3y = 5 + 0
-9 + 3y = 5

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

Combine like terms: -9 + 9 = 0
0 + 3y = 5 + 9
3y = 5 + 9

Combine like terms: 5 + 9 = 14
3y = 14

Divide each side by '3'.
y = 4.666666667

Simplifying
y = 4.666666667

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