1.2(y-0.3)=2.4(y-0.4)

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Solution for 1.2(y-0.3)=2.4(y-0.4) equation: 


Simplifying
1.2(y + -0.3) = 2.4(y + -0.4)

Reorder the terms:
1.2(-0.3 + y) = 2.4(y + -0.4)
(-0.3 * 1.2 + y * 1.2) = 2.4(y + -0.4)
(-0.36 + 1.2y) = 2.4(y + -0.4)

Reorder the terms:
-0.36 + 1.2y = 2.4(-0.4 + y)
-0.36 + 1.2y = (-0.4 * 2.4 + y * 2.4)
-0.36 + 1.2y = (-0.96 + 2.4y)

Solving
-0.36 + 1.2y = -0.96 + 2.4y

Solving for variable 'y'.

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

Add '-2.4y' to each side of the equation.
-0.36 + 1.2y + -2.4y = -0.96 + 2.4y + -2.4y

Combine like terms: 1.2y + -2.4y = -1.2y
-0.36 + -1.2y = -0.96 + 2.4y + -2.4y

Combine like terms: 2.4y + -2.4y = 0.0
-0.36 + -1.2y = -0.96 + 0.0
-0.36 + -1.2y = -0.96

Add '0.36' to each side of the equation.
-0.36 + 0.36 + -1.2y = -0.96 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + -1.2y = -0.96 + 0.36
-1.2y = -0.96 + 0.36

Combine like terms: -0.96 + 0.36 = -0.6
-1.2y = -0.6

Divide each side by '-1.2'.
y = 0.5

Simplifying
y = 0.5

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