5*9y-[1-3(3y-5)]=

Solution for 5*9y-[1-3(3y-5)]= equation:

Simplifying
5 * 9y + -1[1 + -3(3y + -5)] = 0

Multiply 5 * 9
45y + -1[1 + -3(3y + -5)] = 0

Reorder the terms:
45y + -1[1 + -3(-5 + 3y)] = 0
45y + -1[1 + (-5 * -3 + 3y * -3)] = 0
45y + -1[1 + (15 + -9y)] = 0

Combine like terms: 1 + 15 = 16
45y + -1[16 + -9y] = 0
45y + [16 * -1 + -9y * -1] = 0
45y + [-16 + 9y] = 0

Reorder the terms:
-16 + 45y + 9y = 0

Combine like terms: 45y + 9y = 54y
-16 + 54y = 0

Solving
-16 + 54y = 0

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 54y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 54y = 0 + 16
54y = 0 + 16

Combine like terms: 0 + 16 = 16
54y = 16

Divide each side by '54'.
y = 0.2962962963

Simplifying
y = 0.2962962963