4y-0.33(15y-9)=y-7

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Solution for 4y-0.33(15y-9)=y-7 equation: 


Simplifying
4y + -0.33(15y + -9) = y + -7

Reorder the terms:
4y + -0.33(-9 + 15y) = y + -7
4y + (-9 * -0.33 + 15y * -0.33) = y + -7
4y + (2.97 + -4.95y) = y + -7

Reorder the terms:
2.97 + 4y + -4.95y = y + -7

Combine like terms: 4y + -4.95y = -0.95y
2.97 + -0.95y = y + -7

Reorder the terms:
2.97 + -0.95y = -7 + y

Solving
2.97 + -0.95y = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
2.97 + -0.95y + -1y = -7 + y + -1y

Combine like terms: -0.95y + -1y = -1.95y
2.97 + -1.95y = -7 + y + -1y

Combine like terms: y + -1y = 0
2.97 + -1.95y = -7 + 0
2.97 + -1.95y = -7

Add '-2.97' to each side of the equation.
2.97 + -2.97 + -1.95y = -7 + -2.97

Combine like terms: 2.97 + -2.97 = 0.00
0.00 + -1.95y = -7 + -2.97
-1.95y = -7 + -2.97

Combine like terms: -7 + -2.97 = -9.97
-1.95y = -9.97

Divide each side by '-1.95'.
y = 5.112820513

Simplifying
y = 5.112820513

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