10y-14-3y=10y-6(1-y)

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Solution for 10y-14-3y=10y-6(1-y) equation:


Simplifying
10y + -14 + -3y = 10y + -6(1 + -1y)

Reorder the terms:
-14 + 10y + -3y = 10y + -6(1 + -1y)

Combine like terms: 10y + -3y = 7y
-14 + 7y = 10y + -6(1 + -1y)
-14 + 7y = 10y + (1 * -6 + -1y * -6)
-14 + 7y = 10y + (-6 + 6y)

Reorder the terms:
-14 + 7y = -6 + 10y + 6y

Combine like terms: 10y + 6y = 16y
-14 + 7y = -6 + 16y

Solving
-14 + 7y = -6 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-14 + 7y + -16y = -6 + 16y + -16y

Combine like terms: 7y + -16y = -9y
-14 + -9y = -6 + 16y + -16y

Combine like terms: 16y + -16y = 0
-14 + -9y = -6 + 0
-14 + -9y = -6

Add '14' to each side of the equation.
-14 + 14 + -9y = -6 + 14

Combine like terms: -14 + 14 = 0
0 + -9y = -6 + 14
-9y = -6 + 14

Combine like terms: -6 + 14 = 8
-9y = 8

Divide each side by '-9'.
y = -0.8888888889

Simplifying
y = -0.8888888889

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