7y+2=1.33(9y+282)

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Solution for 7y+2=1.33(9y+282) equation: 


Simplifying
7y + 2 = 1.33(9y + 282)

Reorder the terms:
2 + 7y = 1.33(9y + 282)

Reorder the terms:
2 + 7y = 1.33(282 + 9y)
2 + 7y = (282 * 1.33 + 9y * 1.33)
2 + 7y = (375.06 + 11.97y)

Solving
2 + 7y = 375.06 + 11.97y

Solving for variable 'y'.

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

Add '-11.97y' to each side of the equation.
2 + 7y + -11.97y = 375.06 + 11.97y + -11.97y

Combine like terms: 7y + -11.97y = -4.97y
2 + -4.97y = 375.06 + 11.97y + -11.97y

Combine like terms: 11.97y + -11.97y = 0.00
2 + -4.97y = 375.06 + 0.00
2 + -4.97y = 375.06

Add '-2' to each side of the equation.
2 + -2 + -4.97y = 375.06 + -2

Combine like terms: 2 + -2 = 0
0 + -4.97y = 375.06 + -2
-4.97y = 375.06 + -2

Combine like terms: 375.06 + -2 = 373.06
-4.97y = 373.06

Divide each side by '-4.97'.
y = -75.06237425

Simplifying
y = -75.06237425

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