4y-0.3(15y-9)=y-7

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Solution for 4y-0.3(15y-9)=y-7 equation: 


Simplifying
4y + -0.3(15y + -9) = y + -7

Reorder the terms:
4y + -0.3(-9 + 15y) = y + -7
4y + (-9 * -0.3 + 15y * -0.3) = y + -7
4y + (2.7 + -4.5y) = y + -7

Reorder the terms:
2.7 + 4y + -4.5y = y + -7

Combine like terms: 4y + -4.5y = -0.5y
2.7 + -0.5y = y + -7

Reorder the terms:
2.7 + -0.5y = -7 + y

Solving
2.7 + -0.5y = -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.
2.7 + -0.5y + -1y = -7 + y + -1y

Combine like terms: -0.5y + -1y = -1.5y
2.7 + -1.5y = -7 + y + -1y

Combine like terms: y + -1y = 0
2.7 + -1.5y = -7 + 0
2.7 + -1.5y = -7

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -1.5y = -7 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -1.5y = -7 + -2.7
-1.5y = -7 + -2.7

Combine like terms: -7 + -2.7 = -9.7
-1.5y = -9.7

Divide each side by '-1.5'.
y = 6.466666667

Simplifying
y = 6.466666667

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