19-(3y-2)=3(y-2)+3y

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Solution for 19-(3y-2)=3(y-2)+3y equation:


Simplifying
19 + -1(3y + -2) = 3(y + -2) + 3y

Reorder the terms:
19 + -1(-2 + 3y) = 3(y + -2) + 3y
19 + (-2 * -1 + 3y * -1) = 3(y + -2) + 3y
19 + (2 + -3y) = 3(y + -2) + 3y

Combine like terms: 19 + 2 = 21
21 + -3y = 3(y + -2) + 3y

Reorder the terms:
21 + -3y = 3(-2 + y) + 3y
21 + -3y = (-2 * 3 + y * 3) + 3y
21 + -3y = (-6 + 3y) + 3y

Combine like terms: 3y + 3y = 6y
21 + -3y = -6 + 6y

Solving
21 + -3y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
21 + -3y + -6y = -6 + 6y + -6y

Combine like terms: -3y + -6y = -9y
21 + -9y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
21 + -9y = -6 + 0
21 + -9y = -6

Add '-21' to each side of the equation.
21 + -21 + -9y = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -9y = -6 + -21
-9y = -6 + -21

Combine like terms: -6 + -21 = -27
-9y = -27

Divide each side by '-9'.
y = 3

Simplifying
y = 3

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