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

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


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

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

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

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

Reorder the terms:
-15 + 10y = 3(2 + y) + -5
-15 + 10y = (2 * 3 + y * 3) + -5
-15 + 10y = (6 + 3y) + -5

Reorder the terms:
-15 + 10y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
-15 + 10y = 1 + 3y

Solving
-15 + 10y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-15 + 10y + -3y = 1 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-15 + 7y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-15 + 7y = 1 + 0
-15 + 7y = 1

Add '15' to each side of the equation.
-15 + 15 + 7y = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 7y = 1 + 15
7y = 1 + 15

Combine like terms: 1 + 15 = 16
7y = 16

Divide each side by '7'.
y = 2.285714286

Simplifying
y = 2.285714286

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