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

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


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

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

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

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

Reorder the terms:
-3 + -3 + y + -1y = 4y

Combine like terms: -3 + -3 = -6
-6 + y + -1y = 4y

Combine like terms: y + -1y = 0
-6 + 0 = 4y
-6 = 4y

Solving
-6 = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-6 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + -4y = 0

Add '6' to each side of the equation.
-6 + 6 + -4y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -4y = 0 + 6
-4y = 0 + 6

Combine like terms: 0 + 6 = 6
-4y = 6

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5

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