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

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


Simplifying
3(2y + 3) + -4(3y + -5) = 0

Reorder the terms:
3(3 + 2y) + -4(3y + -5) = 0
(3 * 3 + 2y * 3) + -4(3y + -5) = 0
(9 + 6y) + -4(3y + -5) = 0

Reorder the terms:
9 + 6y + -4(-5 + 3y) = 0
9 + 6y + (-5 * -4 + 3y * -4) = 0
9 + 6y + (20 + -12y) = 0

Reorder the terms:
9 + 20 + 6y + -12y = 0

Combine like terms: 9 + 20 = 29
29 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
29 + -6y = 0

Solving
29 + -6y = 0

Solving for variable 'y'.

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

Add '-29' to each side of the equation.
29 + -29 + -6y = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -6y = 0 + -29
-6y = 0 + -29

Combine like terms: 0 + -29 = -29
-6y = -29

Divide each side by '-6'.
y = 4.833333333

Simplifying
y = 4.833333333

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