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

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

Simplifying
3(y + -2) = 5(y + -7)

Reorder the terms:
3(-2 + y) = 5(y + -7)
(-2 * 3 + y * 3) = 5(y + -7)
(-6 + 3y) = 5(y + -7)

Reorder the terms:
-6 + 3y = 5(-7 + y)
-6 + 3y = (-7 * 5 + y * 5)
-6 + 3y = (-35 + 5y)

Solving
-6 + 3y = -35 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-6 + 3y + -5y = -35 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-6 + -2y = -35 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -2y = -35 + 0
-6 + -2y = -35

Add '6' to each side of the equation.
-6 + 6 + -2y = -35 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = -35 + 6
-2y = -35 + 6

Combine like terms: -35 + 6 = -29
-2y = -29

Divide each side by '-2'.
y = 14.5

Simplifying
y = 14.5