7(y+3)=-4(3y-9)+y

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Solution for 7(y+3)=-4(3y-9)+y equation:


Simplifying
7(y + 3) = -4(3y + -9) + y

Reorder the terms:
7(3 + y) = -4(3y + -9) + y
(3 * 7 + y * 7) = -4(3y + -9) + y
(21 + 7y) = -4(3y + -9) + y

Reorder the terms:
21 + 7y = -4(-9 + 3y) + y
21 + 7y = (-9 * -4 + 3y * -4) + y
21 + 7y = (36 + -12y) + y

Combine like terms: -12y + y = -11y
21 + 7y = 36 + -11y

Solving
21 + 7y = 36 + -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.
21 + 7y + 11y = 36 + -11y + 11y

Combine like terms: 7y + 11y = 18y
21 + 18y = 36 + -11y + 11y

Combine like terms: -11y + 11y = 0
21 + 18y = 36 + 0
21 + 18y = 36

Add '-21' to each side of the equation.
21 + -21 + 18y = 36 + -21

Combine like terms: 21 + -21 = 0
0 + 18y = 36 + -21
18y = 36 + -21

Combine like terms: 36 + -21 = 15
18y = 15

Divide each side by '18'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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