29+4(y-7)+2(9-y)=y

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Solution for 29+4(y-7)+2(9-y)=y equation: 


Simplifying
29 + 4(y + -7) + 2(9 + -1y) = y

Reorder the terms:
29 + 4(-7 + y) + 2(9 + -1y) = y
29 + (-7 * 4 + y * 4) + 2(9 + -1y) = y
29 + (-28 + 4y) + 2(9 + -1y) = y
29 + -28 + 4y + (9 * 2 + -1y * 2) = y
29 + -28 + 4y + (18 + -2y) = y

Reorder the terms:
29 + -28 + 18 + 4y + -2y = y

Combine like terms: 29 + -28 = 1
1 + 18 + 4y + -2y = y

Combine like terms: 1 + 18 = 19
19 + 4y + -2y = y

Combine like terms: 4y + -2y = 2y
19 + 2y = y

Solving
19 + 2y = 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.
19 + 2y + -1y = y + -1y

Combine like terms: 2y + -1y = 1y
19 + 1y = y + -1y

Combine like terms: y + -1y = 0
19 + 1y = 0

Add '-19' to each side of the equation.
19 + -19 + 1y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 1y = 0 + -19
1y = 0 + -19

Combine like terms: 0 + -19 = -19
1y = -19

Divide each side by '1'.
y = -19

Simplifying
y = -19

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