2y-3(2y-3)+4=33

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Solution for 2y-3(2y-3)+4=33 equation:


Simplifying
2y + -3(2y + -3) + 4 = 33

Reorder the terms:
2y + -3(-3 + 2y) + 4 = 33
2y + (-3 * -3 + 2y * -3) + 4 = 33
2y + (9 + -6y) + 4 = 33

Reorder the terms:
9 + 4 + 2y + -6y = 33

Combine like terms: 9 + 4 = 13
13 + 2y + -6y = 33

Combine like terms: 2y + -6y = -4y
13 + -4y = 33

Solving
13 + -4y = 33

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + -4y = 33 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = 33 + -13
-4y = 33 + -13

Combine like terms: 33 + -13 = 20
-4y = 20

Divide each side by '-4'.
y = -5

Simplifying
y = -5

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