-2=-4(-7y+1)+5(8+3y)

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Solution for -2=-4(-7y+1)+5(8+3y) equation:


Simplifying
-2 = -4(-7y + 1) + 5(8 + 3y)

Reorder the terms:
-2 = -4(1 + -7y) + 5(8 + 3y)
-2 = (1 * -4 + -7y * -4) + 5(8 + 3y)
-2 = (-4 + 28y) + 5(8 + 3y)
-2 = -4 + 28y + (8 * 5 + 3y * 5)
-2 = -4 + 28y + (40 + 15y)

Reorder the terms:
-2 = -4 + 40 + 28y + 15y

Combine like terms: -4 + 40 = 36
-2 = 36 + 28y + 15y

Combine like terms: 28y + 15y = 43y
-2 = 36 + 43y

Solving
-2 = 36 + 43y

Solving for variable 'y'.

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

Add '-43y' to each side of the equation.
-2 + -43y = 36 + 43y + -43y

Combine like terms: 43y + -43y = 0
-2 + -43y = 36 + 0
-2 + -43y = 36

Add '2' to each side of the equation.
-2 + 2 + -43y = 36 + 2

Combine like terms: -2 + 2 = 0
0 + -43y = 36 + 2
-43y = 36 + 2

Combine like terms: 36 + 2 = 38
-43y = 38

Divide each side by '-43'.
y = -0.8837209302

Simplifying
y = -0.8837209302

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