4y-0.3333333(15y-9)=y-7

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Solution for 4y-0.3333333(15y-9)=y-7 equation:


Simplifying
4y + -0.3333333(15y + -9) = y + -7

Reorder the terms:
4y + -0.3333333(-9 + 15y) = y + -7
4y + (-9 * -0.3333333 + 15y * -0.3333333) = y + -7
4y + (2.9999997 + -4.9999995y) = y + -7

Reorder the terms:
2.9999997 + 4y + -4.9999995y = y + -7

Combine like terms: 4y + -4.9999995y = -0.9999995y
2.9999997 + -0.9999995y = y + -7

Reorder the terms:
2.9999997 + -0.9999995y = -7 + y

Solving
2.9999997 + -0.9999995y = -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.
2.9999997 + -0.9999995y + -1y = -7 + y + -1y

Combine like terms: -0.9999995y + -1y = -1.9999995y
2.9999997 + -1.9999995y = -7 + y + -1y

Combine like terms: y + -1y = 0
2.9999997 + -1.9999995y = -7 + 0
2.9999997 + -1.9999995y = -7

Add '-2.9999997' to each side of the equation.
2.9999997 + -2.9999997 + -1.9999995y = -7 + -2.9999997

Combine like terms: 2.9999997 + -2.9999997 = 0.0000000
0.0000000 + -1.9999995y = -7 + -2.9999997
-1.9999995y = -7 + -2.9999997

Combine like terms: -7 + -2.9999997 = -9.9999997
-1.9999995y = -9.9999997

Divide each side by '-1.9999995'.
y = 5.0000011

Simplifying
y = 5.0000011

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