7y+3(y-5)=5(y+2)-3

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Solution for 7y+3(y-5)=5(y+2)-3 equation: 


Simplifying
7y + 3(y + -5) = 5(y + 2) + -3

Reorder the terms:
7y + 3(-5 + y) = 5(y + 2) + -3
7y + (-5 * 3 + y * 3) = 5(y + 2) + -3
7y + (-15 + 3y) = 5(y + 2) + -3

Reorder the terms:
-15 + 7y + 3y = 5(y + 2) + -3

Combine like terms: 7y + 3y = 10y
-15 + 10y = 5(y + 2) + -3

Reorder the terms:
-15 + 10y = 5(2 + y) + -3
-15 + 10y = (2 * 5 + y * 5) + -3
-15 + 10y = (10 + 5y) + -3

Reorder the terms:
-15 + 10y = 10 + -3 + 5y

Combine like terms: 10 + -3 = 7
-15 + 10y = 7 + 5y

Solving
-15 + 10y = 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.
-15 + 10y + -5y = 7 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-15 + 5y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + 5y = 7 + 0
-15 + 5y = 7

Add '15' to each side of the equation.
-15 + 15 + 5y = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = 7 + 15
5y = 7 + 15

Combine like terms: 7 + 15 = 22
5y = 22

Divide each side by '5'.
y = 4.4

Simplifying
y = 4.4

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