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

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


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

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

Remove parenthesis around (1 + -7y)
40 + 10y + 1 + -7y + -4 = -2

Reorder the terms:
40 + 1 + -4 + 10y + -7y = -2

Combine like terms: 40 + 1 = 41
41 + -4 + 10y + -7y = -2

Combine like terms: 41 + -4 = 37
37 + 10y + -7y = -2

Combine like terms: 10y + -7y = 3y
37 + 3y = -2

Solving
37 + 3y = -2

Solving for variable 'y'.

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

Add '-37' to each side of the equation.
37 + -37 + 3y = -2 + -37

Combine like terms: 37 + -37 = 0
0 + 3y = -2 + -37
3y = -2 + -37

Combine like terms: -2 + -37 = -39
3y = -39

Divide each side by '3'.
y = -13

Simplifying
y = -13

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