7y+3(y-5)=(y+1)-2

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Solution for 7y+3(y-5)=(y+1)-2 equation: 


Simplifying
7y + 3(y + -5) = (y + 1) + -2

Reorder the terms:
7y + 3(-5 + y) = (y + 1) + -2
7y + (-5 * 3 + y * 3) = (y + 1) + -2
7y + (-15 + 3y) = (y + 1) + -2

Reorder the terms:
-15 + 7y + 3y = (y + 1) + -2

Combine like terms: 7y + 3y = 10y
-15 + 10y = (y + 1) + -2

Reorder the terms:
-15 + 10y = (1 + y) + -2

Remove parenthesis around (1 + y)
-15 + 10y = 1 + y + -2

Reorder the terms:
-15 + 10y = 1 + -2 + y

Combine like terms: 1 + -2 = -1
-15 + 10y = -1 + y

Solving
-15 + 10y = -1 + y

Solving for variable 'y'.

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

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

Combine like terms: 10y + -1y = 9y
-15 + 9y = -1 + y + -1y

Combine like terms: y + -1y = 0
-15 + 9y = -1 + 0
-15 + 9y = -1

Add '15' to each side of the equation.
-15 + 15 + 9y = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 9y = -1 + 15
9y = -1 + 15

Combine like terms: -1 + 15 = 14
9y = 14

Divide each side by '9'.
y = 1.555555556

Simplifying
y = 1.555555556

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