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

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


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

Reorder the terms:
-2 = -4(1 + 7y) + 5(8 + 2y)
-2 = (1 * -4 + 7y * -4) + 5(8 + 2y)
-2 = (-4 + -28y) + 5(8 + 2y)
-2 = -4 + -28y + (8 * 5 + 2y * 5)
-2 = -4 + -28y + (40 + 10y)

Reorder the terms:
-2 = -4 + 40 + -28y + 10y

Combine like terms: -4 + 40 = 36
-2 = 36 + -28y + 10y

Combine like terms: -28y + 10y = -18y
-2 = 36 + -18y

Solving
-2 = 36 + -18y

Solving for variable 'y'.

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

Add '18y' to each side of the equation.
-2 + 18y = 36 + -18y + 18y

Combine like terms: -18y + 18y = 0
-2 + 18y = 36 + 0
-2 + 18y = 36

Add '2' to each side of the equation.
-2 + 2 + 18y = 36 + 2

Combine like terms: -2 + 2 = 0
0 + 18y = 36 + 2
18y = 36 + 2

Combine like terms: 36 + 2 = 38
18y = 38

Divide each side by '18'.
y = 2.111111111

Simplifying
y = 2.111111111

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