5(2y+4)+2(5-y)=6

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Solution for 5(2y+4)+2(5-y)=6 equation:


Simplifying
5(2y + 4) + 2(5 + -1y) = 6

Reorder the terms:
5(4 + 2y) + 2(5 + -1y) = 6
(4 * 5 + 2y * 5) + 2(5 + -1y) = 6
(20 + 10y) + 2(5 + -1y) = 6
20 + 10y + (5 * 2 + -1y * 2) = 6
20 + 10y + (10 + -2y) = 6

Reorder the terms:
20 + 10 + 10y + -2y = 6

Combine like terms: 20 + 10 = 30
30 + 10y + -2y = 6

Combine like terms: 10y + -2y = 8y
30 + 8y = 6

Solving
30 + 8y = 6

Solving for variable 'y'.

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

Add '-30' to each side of the equation.
30 + -30 + 8y = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 8y = 6 + -30
8y = 6 + -30

Combine like terms: 6 + -30 = -24
8y = -24

Divide each side by '8'.
y = -3

Simplifying
y = -3

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