-0.5(4y-2)-0.2(5y-10)=6

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Solution for -0.5(4y-2)-0.2(5y-10)=6 equation:


Simplifying
-0.5(4y + -2) + -0.2(5y + -10) = 6

Reorder the terms:
-0.5(-2 + 4y) + -0.2(5y + -10) = 6
(-2 * -0.5 + 4y * -0.5) + -0.2(5y + -10) = 6
(1 + -2y) + -0.2(5y + -10) = 6

Reorder the terms:
1 + -2y + -0.2(-10 + 5y) = 6
1 + -2y + (-10 * -0.2 + 5y * -0.2) = 6
1 + -2y + (2 + -1y) = 6

Reorder the terms:
1 + 2 + -2y + -1y = 6

Combine like terms: 1 + 2 = 3
3 + -2y + -1y = 6

Combine like terms: -2y + -1y = -3y
3 + -3y = 6

Solving
3 + -3y = 6

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -3y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -3y = 6 + -3
-3y = 6 + -3

Combine like terms: 6 + -3 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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