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

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


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

Reorder the terms:
5y + 3(-3 + y) = 5(y + 2) + -3
5y + (-3 * 3 + y * 3) = 5(y + 2) + -3
5y + (-9 + 3y) = 5(y + 2) + -3

Reorder the terms:
-9 + 5y + 3y = 5(y + 2) + -3

Combine like terms: 5y + 3y = 8y
-9 + 8y = 5(y + 2) + -3

Reorder the terms:
-9 + 8y = 5(2 + y) + -3
-9 + 8y = (2 * 5 + y * 5) + -3
-9 + 8y = (10 + 5y) + -3

Reorder the terms:
-9 + 8y = 10 + -3 + 5y

Combine like terms: 10 + -3 = 7
-9 + 8y = 7 + 5y

Solving
-9 + 8y = 7 + 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 = 7 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-9 + 3y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-9 + 3y = 7 + 0
-9 + 3y = 7

Add '9' to each side of the equation.
-9 + 9 + 3y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 3y = 7 + 9
3y = 7 + 9

Combine like terms: 7 + 9 = 16
3y = 16

Divide each side by '3'.
y = 5.333333333

Simplifying
y = 5.333333333

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