3(10.5+-0.25y)=7y-2

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Solution for 3(10.5+-0.25y)=7y-2 equation: 


Simplifying
3(10.5 + -0.25y) = 7y + -2
(10.5 * 3 + -0.25y * 3) = 7y + -2
(31.5 + -0.75y) = 7y + -2

Reorder the terms:
31.5 + -0.75y = -2 + 7y

Solving
31.5 + -0.75y = -2 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
31.5 + -0.75y + -7y = -2 + 7y + -7y

Combine like terms: -0.75y + -7y = -7.75y
31.5 + -7.75y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
31.5 + -7.75y = -2 + 0
31.5 + -7.75y = -2

Add '-31.5' to each side of the equation.
31.5 + -31.5 + -7.75y = -2 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + -7.75y = -2 + -31.5
-7.75y = -2 + -31.5

Combine like terms: -2 + -31.5 = -33.5
-7.75y = -33.5

Divide each side by '-7.75'.
y = 4.322580645

Simplifying
y = 4.322580645

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