10-y=3-6(y-2)

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Solution for 10-y=3-6(y-2) equation: 


Simplifying
10 + -1y = 3 + -6(y + -2)

Reorder the terms:
10 + -1y = 3 + -6(-2 + y)
10 + -1y = 3 + (-2 * -6 + y * -6)
10 + -1y = 3 + (12 + -6y)

Combine like terms: 3 + 12 = 15
10 + -1y = 15 + -6y

Solving
10 + -1y = 15 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
10 + -1y + 6y = 15 + -6y + 6y

Combine like terms: -1y + 6y = 5y
10 + 5y = 15 + -6y + 6y

Combine like terms: -6y + 6y = 0
10 + 5y = 15 + 0
10 + 5y = 15

Add '-10' to each side of the equation.
10 + -10 + 5y = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 5y = 15 + -10
5y = 15 + -10

Combine like terms: 15 + -10 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1

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