4y-6(y-5)=2

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Solution for 4y-6(y-5)=2 equation:


Simplifying
4y + -6(y + -5) = 2

Reorder the terms:
4y + -6(-5 + y) = 2
4y + (-5 * -6 + y * -6) = 2
4y + (30 + -6y) = 2

Reorder the terms:
30 + 4y + -6y = 2

Combine like terms: 4y + -6y = -2y
30 + -2y = 2

Solving
30 + -2y = 2

Solving for variable 'y'.

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

Add '-30' to each side of the equation.
30 + -30 + -2y = 2 + -30

Combine like terms: 30 + -30 = 0
0 + -2y = 2 + -30
-2y = 2 + -30

Combine like terms: 2 + -30 = -28
-2y = -28

Divide each side by '-2'.
y = 14

Simplifying
y = 14

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