1.5(y-6)=6.4-y

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Solution for 1.5(y-6)=6.4-y equation:


Simplifying
1.5(y + -6) = 6.4 + -1y

Reorder the terms:
1.5(-6 + y) = 6.4 + -1y
(-6 * 1.5 + y * 1.5) = 6.4 + -1y
(-9 + 1.5y) = 6.4 + -1y

Solving
-9 + 1.5y = 6.4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-9 + 1.5y + y = 6.4 + -1y + y

Combine like terms: 1.5y + y = 2.5y
-9 + 2.5y = 6.4 + -1y + y

Combine like terms: -1y + y = 0
-9 + 2.5y = 6.4 + 0
-9 + 2.5y = 6.4

Add '9' to each side of the equation.
-9 + 9 + 2.5y = 6.4 + 9

Combine like terms: -9 + 9 = 0
0 + 2.5y = 6.4 + 9
2.5y = 6.4 + 9

Combine like terms: 6.4 + 9 = 15.4
2.5y = 15.4

Divide each side by '2.5'.
y = 6.16

Simplifying
y = 6.16

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