y-7-9(y-4)+4(7y+1)=

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Solution for y-7-9(y-4)+4(7y+1)= equation: 


Simplifying
y + -7 + -9(y + -4) + 4(7y + 1) = 0

Reorder the terms:
y + -7 + -9(-4 + y) + 4(7y + 1) = 0
y + -7 + (-4 * -9 + y * -9) + 4(7y + 1) = 0
y + -7 + (36 + -9y) + 4(7y + 1) = 0

Reorder the terms:
y + -7 + 36 + -9y + 4(1 + 7y) = 0
y + -7 + 36 + -9y + (1 * 4 + 7y * 4) = 0
y + -7 + 36 + -9y + (4 + 28y) = 0

Reorder the terms:
-7 + 36 + 4 + y + -9y + 28y = 0

Combine like terms: -7 + 36 = 29
29 + 4 + y + -9y + 28y = 0

Combine like terms: 29 + 4 = 33
33 + y + -9y + 28y = 0

Combine like terms: y + -9y = -8y
33 + -8y + 28y = 0

Combine like terms: -8y + 28y = 20y
33 + 20y = 0

Solving
33 + 20y = 0

Solving for variable 'y'.

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

Add '-33' to each side of the equation.
33 + -33 + 20y = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 20y = 0 + -33
20y = 0 + -33

Combine like terms: 0 + -33 = -33
20y = -33

Divide each side by '20'.
y = -1.65

Simplifying
y = -1.65

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