7y+2(1-4y)=8y-5(y+4)

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Solution for 7y+2(1-4y)=8y-5(y+4) equation: 


Simplifying
7y + 2(1 + -4y) = 8y + -5(y + 4)
7y + (1 * 2 + -4y * 2) = 8y + -5(y + 4)
7y + (2 + -8y) = 8y + -5(y + 4)

Reorder the terms:
2 + 7y + -8y = 8y + -5(y + 4)

Combine like terms: 7y + -8y = -1y
2 + -1y = 8y + -5(y + 4)

Reorder the terms:
2 + -1y = 8y + -5(4 + y)
2 + -1y = 8y + (4 * -5 + y * -5)
2 + -1y = 8y + (-20 + -5y)

Reorder the terms:
2 + -1y = -20 + 8y + -5y

Combine like terms: 8y + -5y = 3y
2 + -1y = -20 + 3y

Solving
2 + -1y = -20 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + -1y + -3y = -20 + 3y + -3y

Combine like terms: -1y + -3y = -4y
2 + -4y = -20 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + -4y = -20 + 0
2 + -4y = -20

Add '-2' to each side of the equation.
2 + -2 + -4y = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = -20 + -2
-4y = -20 + -2

Combine like terms: -20 + -2 = -22
-4y = -22

Divide each side by '-4'.
y = 5.5

Simplifying
y = 5.5

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