y+0.5y-0.9=6(y-2.4)

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Solution for y+0.5y-0.9=6(y-2.4) equation:


Simplifying
y + 0.5y + -0.9 = 6(y + -2.4)

Reorder the terms:
-0.9 + y + 0.5y = 6(y + -2.4)

Combine like terms: y + 0.5y = 1.5y
-0.9 + 1.5y = 6(y + -2.4)

Reorder the terms:
-0.9 + 1.5y = 6(-2.4 + y)
-0.9 + 1.5y = (-2.4 * 6 + y * 6)
-0.9 + 1.5y = (-14.4 + 6y)

Solving
-0.9 + 1.5y = -14.4 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-0.9 + 1.5y + -6y = -14.4 + 6y + -6y

Combine like terms: 1.5y + -6y = -4.5y
-0.9 + -4.5y = -14.4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-0.9 + -4.5y = -14.4 + 0
-0.9 + -4.5y = -14.4

Add '0.9' to each side of the equation.
-0.9 + 0.9 + -4.5y = -14.4 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + -4.5y = -14.4 + 0.9
-4.5y = -14.4 + 0.9

Combine like terms: -14.4 + 0.9 = -13.5
-4.5y = -13.5

Divide each side by '-4.5'.
y = 3

Simplifying
y = 3

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