7(y+6.7)=6(3.7-y)

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Solution for 7(y+6.7)=6(3.7-y) equation: 


Simplifying
7(y + 6.7) = 6(3.7 + -1y)

Reorder the terms:
7(6.7 + y) = 6(3.7 + -1y)
(6.7 * 7 + y * 7) = 6(3.7 + -1y)
(46.9 + 7y) = 6(3.7 + -1y)
46.9 + 7y = (3.7 * 6 + -1y * 6)
46.9 + 7y = (22.2 + -6y)

Solving
46.9 + 7y = 22.2 + -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.
46.9 + 7y + 6y = 22.2 + -6y + 6y

Combine like terms: 7y + 6y = 13y
46.9 + 13y = 22.2 + -6y + 6y

Combine like terms: -6y + 6y = 0
46.9 + 13y = 22.2 + 0
46.9 + 13y = 22.2

Add '-46.9' to each side of the equation.
46.9 + -46.9 + 13y = 22.2 + -46.9

Combine like terms: 46.9 + -46.9 = 0.0
0.0 + 13y = 22.2 + -46.9
13y = 22.2 + -46.9

Combine like terms: 22.2 + -46.9 = -24.7
13y = -24.7

Divide each side by '13'.
y = -1.9

Simplifying
y = -1.9

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