7y+2=.33333333(9y+282)

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Solution for 7y+2=.33333333(9y+282) equation: 


Simplifying
7y + 2 = 0.33333333(9y + 282)

Reorder the terms:
2 + 7y = 0.33333333(9y + 282)

Reorder the terms:
2 + 7y = 0.33333333(282 + 9y)
2 + 7y = (282 * 0.33333333 + 9y * 0.33333333)
2 + 7y = (93.99999906 + 2.99999997y)

Solving
2 + 7y = 93.99999906 + 2.99999997y

Solving for variable 'y'.

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

Add '-2.99999997y' to each side of the equation.
2 + 7y + -2.99999997y = 93.99999906 + 2.99999997y + -2.99999997y

Combine like terms: 7y + -2.99999997y = 4.00000003y
2 + 4.00000003y = 93.99999906 + 2.99999997y + -2.99999997y

Combine like terms: 2.99999997y + -2.99999997y = 0.00000000
2 + 4.00000003y = 93.99999906 + 0.00000000
2 + 4.00000003y = 93.99999906

Add '-2' to each side of the equation.
2 + -2 + 4.00000003y = 93.99999906 + -2

Combine like terms: 2 + -2 = 0
0 + 4.00000003y = 93.99999906 + -2
4.00000003y = 93.99999906 + -2

Combine like terms: 93.99999906 + -2 = 91.99999906
4.00000003y = 91.99999906

Divide each side by '4.00000003'.
y = 22.99999959

Simplifying
y = 22.99999959

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