-3(4y+3)+4(6y+1)=43

Solution for -3(4y+3)+4(6y+1)=43 equation:

Simplifying
-3(4y + 3) + 4(6y + 1) = 43

Reorder the terms:
-3(3 + 4y) + 4(6y + 1) = 43
(3 * -3 + 4y * -3) + 4(6y + 1) = 43
(-9 + -12y) + 4(6y + 1) = 43

Reorder the terms:
-9 + -12y + 4(1 + 6y) = 43
-9 + -12y + (1 * 4 + 6y * 4) = 43
-9 + -12y + (4 + 24y) = 43

Reorder the terms:
-9 + 4 + -12y + 24y = 43

Combine like terms: -9 + 4 = -5
-5 + -12y + 24y = 43

Combine like terms: -12y + 24y = 12y
-5 + 12y = 43

Solving
-5 + 12y = 43

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 12y = 43 + 5

Combine like terms: -5 + 5 = 0
0 + 12y = 43 + 5
12y = 43 + 5

Combine like terms: 43 + 5 = 48
12y = 48

Divide each side by '12'.
y = 4

Simplifying
y = 4