4(y-6)+3(y+4)=30

Solution for 4(y-6)+3(y+4)=30 equation:

Simplifying
4(y + -6) + 3(y + 4) = 30

Reorder the terms:
4(-6 + y) + 3(y + 4) = 30
(-6 * 4 + y * 4) + 3(y + 4) = 30
(-24 + 4y) + 3(y + 4) = 30

Reorder the terms:
-24 + 4y + 3(4 + y) = 30
-24 + 4y + (4 * 3 + y * 3) = 30
-24 + 4y + (12 + 3y) = 30

Reorder the terms:
-24 + 12 + 4y + 3y = 30

Combine like terms: -24 + 12 = -12
-12 + 4y + 3y = 30

Combine like terms: 4y + 3y = 7y
-12 + 7y = 30

Solving
-12 + 7y = 30

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 7y = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 7y = 30 + 12
7y = 30 + 12

Combine like terms: 30 + 12 = 42
7y = 42

Divide each side by '7'.
y = 6

Simplifying
y = 6