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

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


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

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

Reorder the terms:
-3 + -3y = y + -7 + 2(7 + 5y)
-3 + -3y = y + -7 + (7 * 2 + 5y * 2)
-3 + -3y = y + -7 + (14 + 10y)

Reorder the terms:
-3 + -3y = -7 + 14 + y + 10y

Combine like terms: -7 + 14 = 7
-3 + -3y = 7 + y + 10y

Combine like terms: y + 10y = 11y
-3 + -3y = 7 + 11y

Solving
-3 + -3y = 7 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-3 + -3y + -11y = 7 + 11y + -11y

Combine like terms: -3y + -11y = -14y
-3 + -14y = 7 + 11y + -11y

Combine like terms: 11y + -11y = 0
-3 + -14y = 7 + 0
-3 + -14y = 7

Add '3' to each side of the equation.
-3 + 3 + -14y = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -14y = 7 + 3
-14y = 7 + 3

Combine like terms: 7 + 3 = 10
-14y = 10

Divide each side by '-14'.
y = -0.7142857143

Simplifying
y = -0.7142857143

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