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

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

Simplifying
3(y + -7) = 2(y + -3)

Reorder the terms:
3(-7 + y) = 2(y + -3)
(-7 * 3 + y * 3) = 2(y + -3)
(-21 + 3y) = 2(y + -3)

Reorder the terms:
-21 + 3y = 2(-3 + y)
-21 + 3y = (-3 * 2 + y * 2)
-21 + 3y = (-6 + 2y)

Solving
-21 + 3y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-21 + 3y + -2y = -6 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-21 + 1y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-21 + 1y = -6 + 0
-21 + 1y = -6

Add '21' to each side of the equation.
-21 + 21 + 1y = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 1y = -6 + 21
1y = -6 + 21

Combine like terms: -6 + 21 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15