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

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


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

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

Remove parenthesis around (8 + 2y)
8 + 2y + 5(1 + -7y) + -4 = -2
8 + 2y + (1 * 5 + -7y * 5) + -4 = -2
8 + 2y + (5 + -35y) + -4 = -2

Reorder the terms:
8 + 5 + -4 + 2y + -35y = -2

Combine like terms: 8 + 5 = 13
13 + -4 + 2y + -35y = -2

Combine like terms: 13 + -4 = 9
9 + 2y + -35y = -2

Combine like terms: 2y + -35y = -33y
9 + -33y = -2

Solving
9 + -33y = -2

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + -33y = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -33y = -2 + -9
-33y = -2 + -9

Combine like terms: -2 + -9 = -11
-33y = -11

Divide each side by '-33'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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