4y-3(y-4)=14

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Solution for 4y-3(y-4)=14 equation:


Simplifying
4y + -3(y + -4) = 14

Reorder the terms:
4y + -3(-4 + y) = 14
4y + (-4 * -3 + y * -3) = 14
4y + (12 + -3y) = 14

Reorder the terms:
12 + 4y + -3y = 14

Combine like terms: 4y + -3y = 1y
12 + 1y = 14

Solving
12 + 1y = 14

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 1y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 14 + -12
1y = 14 + -12

Combine like terms: 14 + -12 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2

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