4(y-12)+1=-15(3-2y)

Solution for 4(y-12)+1=-15(3-2y) equation:

Simplifying
4(y + -12) + 1 = -15(3 + -2y)

Reorder the terms:
4(-12 + y) + 1 = -15(3 + -2y)
(-12 * 4 + y * 4) + 1 = -15(3 + -2y)
(-48 + 4y) + 1 = -15(3 + -2y)

Reorder the terms:
-48 + 1 + 4y = -15(3 + -2y)

Combine like terms: -48 + 1 = -47
-47 + 4y = -15(3 + -2y)
-47 + 4y = (3 * -15 + -2y * -15)
-47 + 4y = (-45 + 30y)

Solving
-47 + 4y = -45 + 30y

Solving for variable 'y'.

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

Add '-30y' to each side of the equation.
-47 + 4y + -30y = -45 + 30y + -30y

Combine like terms: 4y + -30y = -26y
-47 + -26y = -45 + 30y + -30y

Combine like terms: 30y + -30y = 0
-47 + -26y = -45 + 0
-47 + -26y = -45

Add '47' to each side of the equation.
-47 + 47 + -26y = -45 + 47

Combine like terms: -47 + 47 = 0
0 + -26y = -45 + 47
-26y = -45 + 47

Combine like terms: -45 + 47 = 2
-26y = 2

Divide each side by '-26'.
y = -0.07692307692

Simplifying
y = -0.07692307692