3(7y-1)+6(4y+9)=

Solution for 3(7y-1)+6(4y+9)= equation:

Simplifying
3(7y + -1) + 6(4y + 9) = 0

Reorder the terms:
3(-1 + 7y) + 6(4y + 9) = 0
(-1 * 3 + 7y * 3) + 6(4y + 9) = 0
(-3 + 21y) + 6(4y + 9) = 0

Reorder the terms:
-3 + 21y + 6(9 + 4y) = 0
-3 + 21y + (9 * 6 + 4y * 6) = 0
-3 + 21y + (54 + 24y) = 0

Reorder the terms:
-3 + 54 + 21y + 24y = 0

Combine like terms: -3 + 54 = 51
51 + 21y + 24y = 0

Combine like terms: 21y + 24y = 45y
51 + 45y = 0

Solving
51 + 45y = 0

Solving for variable 'y'.

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

Add '-51' to each side of the equation.
51 + -51 + 45y = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 45y = 0 + -51
45y = 0 + -51

Combine like terms: 0 + -51 = -51
45y = -51

Divide each side by '45'.
y = -1.133333333

Simplifying
y = -1.133333333