6y-2(y-5)=46

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Solution for 6y-2(y-5)=46 equation: 


Simplifying
6y + -2(y + -5) = 46

Reorder the terms:
6y + -2(-5 + y) = 46
6y + (-5 * -2 + y * -2) = 46
6y + (10 + -2y) = 46

Reorder the terms:
10 + 6y + -2y = 46

Combine like terms: 6y + -2y = 4y
10 + 4y = 46

Solving
10 + 4y = 46

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 4y = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = 46 + -10
4y = 46 + -10

Combine like terms: 46 + -10 = 36
4y = 36

Divide each side by '4'.
y = 9

Simplifying
y = 9

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