2(y-5)-4(1-2y)=16

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Solution for 2(y-5)-4(1-2y)=16 equation:


Simplifying
2(y + -5) + -4(1 + -2y) = 16

Reorder the terms:
2(-5 + y) + -4(1 + -2y) = 16
(-5 * 2 + y * 2) + -4(1 + -2y) = 16
(-10 + 2y) + -4(1 + -2y) = 16
-10 + 2y + (1 * -4 + -2y * -4) = 16
-10 + 2y + (-4 + 8y) = 16

Reorder the terms:
-10 + -4 + 2y + 8y = 16

Combine like terms: -10 + -4 = -14
-14 + 2y + 8y = 16

Combine like terms: 2y + 8y = 10y
-14 + 10y = 16

Solving
-14 + 10y = 16

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 10y = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 10y = 16 + 14
10y = 16 + 14

Combine like terms: 16 + 14 = 30
10y = 30

Divide each side by '10'.
y = 3

Simplifying
y = 3

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