0.5(4y+2)-0.75(8y-16)=1

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Solution for 0.5(4y+2)-0.75(8y-16)=1 equation: 


Simplifying
0.5(4y + 2) + -0.75(8y + -16) = 1

Reorder the terms:
0.5(2 + 4y) + -0.75(8y + -16) = 1
(2 * 0.5 + 4y * 0.5) + -0.75(8y + -16) = 1
(1 + 2y) + -0.75(8y + -16) = 1

Reorder the terms:
1 + 2y + -0.75(-16 + 8y) = 1
1 + 2y + (-16 * -0.75 + 8y * -0.75) = 1
1 + 2y + (12 + -6y) = 1

Reorder the terms:
1 + 12 + 2y + -6y = 1

Combine like terms: 1 + 12 = 13
13 + 2y + -6y = 1

Combine like terms: 2y + -6y = -4y
13 + -4y = 1

Solving
13 + -4y = 1

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + -4y = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = 1 + -13
-4y = 1 + -13

Combine like terms: 1 + -13 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3

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