-4y-3(5y+2)=-1+4(-9-y)

Solution for -4y-3(5y+2)=-1+4(-9-y) equation:

Simplifying
-4y + -3(5y + 2) = -1 + 4(-9 + -1y)

Reorder the terms:
-4y + -3(2 + 5y) = -1 + 4(-9 + -1y)
-4y + (2 * -3 + 5y * -3) = -1 + 4(-9 + -1y)
-4y + (-6 + -15y) = -1 + 4(-9 + -1y)

Reorder the terms:
-6 + -4y + -15y = -1 + 4(-9 + -1y)

Combine like terms: -4y + -15y = -19y
-6 + -19y = -1 + 4(-9 + -1y)
-6 + -19y = -1 + (-9 * 4 + -1y * 4)
-6 + -19y = -1 + (-36 + -4y)

Combine like terms: -1 + -36 = -37
-6 + -19y = -37 + -4y

Solving
-6 + -19y = -37 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-6 + -19y + 4y = -37 + -4y + 4y

Combine like terms: -19y + 4y = -15y
-6 + -15y = -37 + -4y + 4y

Combine like terms: -4y + 4y = 0
-6 + -15y = -37 + 0
-6 + -15y = -37

Add '6' to each side of the equation.
-6 + 6 + -15y = -37 + 6

Combine like terms: -6 + 6 = 0
0 + -15y = -37 + 6
-15y = -37 + 6

Combine like terms: -37 + 6 = -31
-15y = -31

Divide each side by '-15'.
y = 2.066666667

Simplifying
y = 2.066666667