6(4-2y)-3(5+3y)=51

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Solution for 6(4-2y)-3(5+3y)=51 equation: 


Simplifying
6(4 + -2y) + -3(5 + 3y) = 51
(4 * 6 + -2y * 6) + -3(5 + 3y) = 51
(24 + -12y) + -3(5 + 3y) = 51
24 + -12y + (5 * -3 + 3y * -3) = 51
24 + -12y + (-15 + -9y) = 51

Reorder the terms:
24 + -15 + -12y + -9y = 51

Combine like terms: 24 + -15 = 9
9 + -12y + -9y = 51

Combine like terms: -12y + -9y = -21y
9 + -21y = 51

Solving
9 + -21y = 51

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 + -21y = 51 + -9

Combine like terms: 9 + -9 = 0
0 + -21y = 51 + -9
-21y = 51 + -9

Combine like terms: 51 + -9 = 42
-21y = 42

Divide each side by '-21'.
y = -2

Simplifying
y = -2

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