7y+2=6(4-y)

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Solution for 7y+2=6(4-y) equation:


Simplifying
7y + 2 = 6(4 + -1y)

Reorder the terms:
2 + 7y = 6(4 + -1y)
2 + 7y = (4 * 6 + -1y * 6)
2 + 7y = (24 + -6y)

Solving
2 + 7y = 24 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
2 + 7y + 6y = 24 + -6y + 6y

Combine like terms: 7y + 6y = 13y
2 + 13y = 24 + -6y + 6y

Combine like terms: -6y + 6y = 0
2 + 13y = 24 + 0
2 + 13y = 24

Add '-2' to each side of the equation.
2 + -2 + 13y = 24 + -2

Combine like terms: 2 + -2 = 0
0 + 13y = 24 + -2
13y = 24 + -2

Combine like terms: 24 + -2 = 22
13y = 22

Divide each side by '13'.
y = 1.692307692

Simplifying
y = 1.692307692

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