2(y-3)=4(x-1)

Solution for 2(y-3)=4(x-1) equation:

Simplifying
2(y + -3) = 4(x + -1)

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

Reorder the terms:
-6 + 2y = 4(-1 + x)
-6 + 2y = (-1 * 4 + x * 4)
-6 + 2y = (-4 + 4x)

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

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 2y = -4 + 6 + 4x

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

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

Divide each side by '2'.
y = 1 + 2x

Simplifying
y = 1 + 2x