(-11.59)=(-3)(y-15.51)+(-13)

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Solution for (-11.59)=(-3)(y-15.51)+(-13) equation: 


Simplifying
(-11.59) = (-3)(y + -15.51) + (-13)
-11.59 = (-3)(y + -15.51) + (-13)

Reorder the terms:
-11.59 = -3(-15.51 + y) + (-13)
-11.59 = (-15.51 * -3 + y * -3) + (-13)
-11.59 = (46.53 + -3y) + (-13)
-11.59 = 46.53 + -3y + -13

Reorder the terms:
-11.59 = 46.53 + -13 + -3y

Combine like terms: 46.53 + -13 = 33.53
-11.59 = 33.53 + -3y

Solving
-11.59 = 33.53 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-11.59 + 3y = 33.53 + -3y + 3y

Combine like terms: -3y + 3y = 0
-11.59 + 3y = 33.53 + 0
-11.59 + 3y = 33.53

Add '11.59' to each side of the equation.
-11.59 + 11.59 + 3y = 33.53 + 11.59

Combine like terms: -11.59 + 11.59 = 0.00
0.00 + 3y = 33.53 + 11.59
3y = 33.53 + 11.59

Combine like terms: 33.53 + 11.59 = 45.12
3y = 45.12

Divide each side by '3'.
y = 15.04

Simplifying
y = 15.04

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