4-5y=7y-2(3-y)

Solution for 4-5y=7y-2(3-y) equation:

Simplifying
4 + -5y = 7y + -2(3 + -1y)
4 + -5y = 7y + (3 * -2 + -1y * -2)
4 + -5y = 7y + (-6 + 2y)

Reorder the terms:
4 + -5y = -6 + 7y + 2y

Combine like terms: 7y + 2y = 9y
4 + -5y = -6 + 9y

Solving
4 + -5y = -6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
4 + -5y + -9y = -6 + 9y + -9y

Combine like terms: -5y + -9y = -14y
4 + -14y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
4 + -14y = -6 + 0
4 + -14y = -6

Add '-4' to each side of the equation.
4 + -4 + -14y = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -14y = -6 + -4
-14y = -6 + -4

Combine like terms: -6 + -4 = -10
-14y = -10

Divide each side by '-14'.
y = 0.7142857143

Simplifying
y = 0.7142857143