0.6(y-5)=0.4(y-6)

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Solution for 0.6(y-5)=0.4(y-6) equation:


Simplifying
0.6(y + -5) = 0.4(y + -6)

Reorder the terms:
0.6(-5 + y) = 0.4(y + -6)
(-5 * 0.6 + y * 0.6) = 0.4(y + -6)
(-3 + 0.6y) = 0.4(y + -6)

Reorder the terms:
-3 + 0.6y = 0.4(-6 + y)
-3 + 0.6y = (-6 * 0.4 + y * 0.4)
-3 + 0.6y = (-2.4 + 0.4y)

Solving
-3 + 0.6y = -2.4 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
-3 + 0.6y + -0.4y = -2.4 + 0.4y + -0.4y

Combine like terms: 0.6y + -0.4y = 0.2y
-3 + 0.2y = -2.4 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
-3 + 0.2y = -2.4 + 0.0
-3 + 0.2y = -2.4

Add '3' to each side of the equation.
-3 + 3 + 0.2y = -2.4 + 3

Combine like terms: -3 + 3 = 0
0 + 0.2y = -2.4 + 3
0.2y = -2.4 + 3

Combine like terms: -2.4 + 3 = 0.6
0.2y = 0.6

Divide each side by '0.2'.
y = 3

Simplifying
y = 3

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