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

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


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

Reorder the terms:
7y + 2(-5 + y) = 3(y + 2) + -5
7y + (-5 * 2 + y * 2) = 3(y + 2) + -5
7y + (-10 + 2y) = 3(y + 2) + -5

Reorder the terms:
-10 + 7y + 2y = 3(y + 2) + -5

Combine like terms: 7y + 2y = 9y
-10 + 9y = 3(y + 2) + -5

Reorder the terms:
-10 + 9y = 3(2 + y) + -5
-10 + 9y = (2 * 3 + y * 3) + -5
-10 + 9y = (6 + 3y) + -5

Reorder the terms:
-10 + 9y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
-10 + 9y = 1 + 3y

Solving
-10 + 9y = 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.
-10 + 9y + -3y = 1 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-10 + 6y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 6y = 1 + 0
-10 + 6y = 1

Add '10' to each side of the equation.
-10 + 10 + 6y = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 6y = 1 + 10
6y = 1 + 10

Combine like terms: 1 + 10 = 11
6y = 11

Divide each side by '6'.
y = 1.833333333

Simplifying
y = 1.833333333

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