(3y-2)=(4y-18)

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Solution for (3y-2)=(4y-18) equation:


Simplifying
(3y + -2) = (4y + -18)

Reorder the terms:
(-2 + 3y) = (4y + -18)

Remove parenthesis around (-2 + 3y)
-2 + 3y = (4y + -18)

Reorder the terms:
-2 + 3y = (-18 + 4y)

Remove parenthesis around (-18 + 4y)
-2 + 3y = -18 + 4y

Solving
-2 + 3y = -18 + 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.
-2 + 3y + -4y = -18 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-2 + -1y = -18 + 4y + -4y

Combine like terms: 4y + -4y = 0
-2 + -1y = -18 + 0
-2 + -1y = -18

Add '2' to each side of the equation.
-2 + 2 + -1y = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -18 + 2
-1y = -18 + 2

Combine like terms: -18 + 2 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16

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