-3(y+3)=y-9+2(5y+1)

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Solution for -3(y+3)=y-9+2(5y+1) equation:


Simplifying
-3(y + 3) = y + -9 + 2(5y + 1)

Reorder the terms:
-3(3 + y) = y + -9 + 2(5y + 1)
(3 * -3 + y * -3) = y + -9 + 2(5y + 1)
(-9 + -3y) = y + -9 + 2(5y + 1)

Reorder the terms:
-9 + -3y = y + -9 + 2(1 + 5y)
-9 + -3y = y + -9 + (1 * 2 + 5y * 2)
-9 + -3y = y + -9 + (2 + 10y)

Reorder the terms:
-9 + -3y = -9 + 2 + y + 10y

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

Combine like terms: y + 10y = 11y
-9 + -3y = -7 + 11y

Solving
-9 + -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.
-9 + -3y + -11y = -7 + 11y + -11y

Combine like terms: -3y + -11y = -14y
-9 + -14y = -7 + 11y + -11y

Combine like terms: 11y + -11y = 0
-9 + -14y = -7 + 0
-9 + -14y = -7

Add '9' to each side of the equation.
-9 + 9 + -14y = -7 + 9

Combine like terms: -9 + 9 = 0
0 + -14y = -7 + 9
-14y = -7 + 9

Combine like terms: -7 + 9 = 2
-14y = 2

Divide each side by '-14'.
y = -0.1428571429

Simplifying
y = -0.1428571429

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