2(3y-2)-(4y+5)=2

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Solution for 2(3y-2)-(4y+5)=2 equation:


Simplifying
2(3y + -2) + -1(4y + 5) = 2

Reorder the terms:
2(-2 + 3y) + -1(4y + 5) = 2
(-2 * 2 + 3y * 2) + -1(4y + 5) = 2
(-4 + 6y) + -1(4y + 5) = 2

Reorder the terms:
-4 + 6y + -1(5 + 4y) = 2
-4 + 6y + (5 * -1 + 4y * -1) = 2
-4 + 6y + (-5 + -4y) = 2

Reorder the terms:
-4 + -5 + 6y + -4y = 2

Combine like terms: -4 + -5 = -9
-9 + 6y + -4y = 2

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

Solving
-9 + 2y = 2

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 2y = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 2 + 9
2y = 2 + 9

Combine like terms: 2 + 9 = 11
2y = 11

Divide each side by '2'.
y = 5.5

Simplifying
y = 5.5

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