2(y+4)+5y=1

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


Simplifying
2(y + 4) + 5y = 1

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

Combine like terms: 2y + 5y = 7y
8 + 7y = 1

Solving
8 + 7y = 1

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 7y = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 1 + -8
7y = 1 + -8

Combine like terms: 1 + -8 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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