(4y-2)-(-3y+4)=8

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Solution for (4y-2)-(-3y+4)=8 equation:


Simplifying
(4y + -2) + -1(-3y + 4) = 8

Reorder the terms:
(-2 + 4y) + -1(-3y + 4) = 8

Remove parenthesis around (-2 + 4y)
-2 + 4y + -1(-3y + 4) = 8

Reorder the terms:
-2 + 4y + -1(4 + -3y) = 8
-2 + 4y + (4 * -1 + -3y * -1) = 8
-2 + 4y + (-4 + 3y) = 8

Reorder the terms:
-2 + -4 + 4y + 3y = 8

Combine like terms: -2 + -4 = -6
-6 + 4y + 3y = 8

Combine like terms: 4y + 3y = 7y
-6 + 7y = 8

Solving
-6 + 7y = 8

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 7y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7y = 8 + 6
7y = 8 + 6

Combine like terms: 8 + 6 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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