3(0.25+2.25y)=7y-2

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Solution for 3(0.25+2.25y)=7y-2 equation: 


Simplifying
3(0.25 + 2.25y) = 7y + -2
(0.25 * 3 + 2.25y * 3) = 7y + -2
(0.75 + 6.75y) = 7y + -2

Reorder the terms:
0.75 + 6.75y = -2 + 7y

Solving
0.75 + 6.75y = -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.
0.75 + 6.75y + -7y = -2 + 7y + -7y

Combine like terms: 6.75y + -7y = -0.25y
0.75 + -0.25y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
0.75 + -0.25y = -2 + 0
0.75 + -0.25y = -2

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -0.25y = -2 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25y = -2 + -0.75
-0.25y = -2 + -0.75

Combine like terms: -2 + -0.75 = -2.75
-0.25y = -2.75

Divide each side by '-0.25'.
y = 11

Simplifying
y = 11

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