15(y-6)-12(y+4)=21

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Solution for 15(y-6)-12(y+4)=21 equation: 


Simplifying
15(y + -6) + -12(y + 4) = 21

Reorder the terms:
15(-6 + y) + -12(y + 4) = 21
(-6 * 15 + y * 15) + -12(y + 4) = 21
(-90 + 15y) + -12(y + 4) = 21

Reorder the terms:
-90 + 15y + -12(4 + y) = 21
-90 + 15y + (4 * -12 + y * -12) = 21
-90 + 15y + (-48 + -12y) = 21

Reorder the terms:
-90 + -48 + 15y + -12y = 21

Combine like terms: -90 + -48 = -138
-138 + 15y + -12y = 21

Combine like terms: 15y + -12y = 3y
-138 + 3y = 21

Solving
-138 + 3y = 21

Solving for variable 'y'.

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

Add '138' to each side of the equation.
-138 + 138 + 3y = 21 + 138

Combine like terms: -138 + 138 = 0
0 + 3y = 21 + 138
3y = 21 + 138

Combine like terms: 21 + 138 = 159
3y = 159

Divide each side by '3'.
y = 53

Simplifying
y = 53

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