7(4y-9)-(2y+6)=

Solution for 7(4y-9)-(2y+6)= equation:

Simplifying
7(4y + -9) + -1(2y + 6) = 0

Reorder the terms:
7(-9 + 4y) + -1(2y + 6) = 0
(-9 * 7 + 4y * 7) + -1(2y + 6) = 0
(-63 + 28y) + -1(2y + 6) = 0

Reorder the terms:
-63 + 28y + -1(6 + 2y) = 0
-63 + 28y + (6 * -1 + 2y * -1) = 0
-63 + 28y + (-6 + -2y) = 0

Reorder the terms:
-63 + -6 + 28y + -2y = 0

Combine like terms: -63 + -6 = -69
-69 + 28y + -2y = 0

Combine like terms: 28y + -2y = 26y
-69 + 26y = 0

Solving
-69 + 26y = 0

Solving for variable 'y'.

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

Add '69' to each side of the equation.
-69 + 69 + 26y = 0 + 69

Combine like terms: -69 + 69 = 0
0 + 26y = 0 + 69
26y = 0 + 69

Combine like terms: 0 + 69 = 69
26y = 69

Divide each side by '26'.
y = 2.653846154

Simplifying
y = 2.653846154