0.5(y-2)+0.2(y-4)=1

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Solution for 0.5(y-2)+0.2(y-4)=1 equation: 


Simplifying
0.5(y + -2) + 0.2(y + -4) = 1

Reorder the terms:
0.5(-2 + y) + 0.2(y + -4) = 1
(-2 * 0.5 + y * 0.5) + 0.2(y + -4) = 1
(-1 + 0.5y) + 0.2(y + -4) = 1

Reorder the terms:
-1 + 0.5y + 0.2(-4 + y) = 1
-1 + 0.5y + (-4 * 0.2 + y * 0.2) = 1
-1 + 0.5y + (-0.8 + 0.2y) = 1

Reorder the terms:
-1 + -0.8 + 0.5y + 0.2y = 1

Combine like terms: -1 + -0.8 = -1.8
-1.8 + 0.5y + 0.2y = 1

Combine like terms: 0.5y + 0.2y = 0.7y
-1.8 + 0.7y = 1

Solving
-1.8 + 0.7y = 1

Solving for variable 'y'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.7y = 1 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.7y = 1 + 1.8
0.7y = 1 + 1.8

Combine like terms: 1 + 1.8 = 2.8
0.7y = 2.8

Divide each side by '0.7'.
y = 4

Simplifying
y = 4

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