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

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

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

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

Reorder the terms:
-6 + 2y = 4(-5 + y)
-6 + 2y = (-5 * 4 + y * 4)
-6 + 2y = (-20 + 4y)

Solving
-6 + 2y = -20 + 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 + 2y + -4y = -20 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-6 + -2y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + -2y = -20 + 0
-6 + -2y = -20

Add '6' to each side of the equation.
-6 + 6 + -2y = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = -20 + 6
-2y = -20 + 6

Combine like terms: -20 + 6 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7