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

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


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

Reorder the terms:
3(-3 + y) = 4(y + 3)
(-3 * 3 + y * 3) = 4(y + 3)
(-9 + 3y) = 4(y + 3)

Reorder the terms:
-9 + 3y = 4(3 + y)
-9 + 3y = (3 * 4 + y * 4)
-9 + 3y = (12 + 4y)

Solving
-9 + 3y = 12 + 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.
-9 + 3y + -4y = 12 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-9 + -1y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-9 + -1y = 12 + 0
-9 + -1y = 12

Add '9' to each side of the equation.
-9 + 9 + -1y = 12 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 12 + 9
-1y = 12 + 9

Combine like terms: 12 + 9 = 21
-1y = 21

Divide each side by '-1'.
y = -21

Simplifying
y = -21

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