3(4y-9)-4(7y+5)=

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Solution for 3(4y-9)-4(7y+5)= equation:


Simplifying
3(4y + -9) + -4(7y + 5) = 0

Reorder the terms:
3(-9 + 4y) + -4(7y + 5) = 0
(-9 * 3 + 4y * 3) + -4(7y + 5) = 0
(-27 + 12y) + -4(7y + 5) = 0

Reorder the terms:
-27 + 12y + -4(5 + 7y) = 0
-27 + 12y + (5 * -4 + 7y * -4) = 0
-27 + 12y + (-20 + -28y) = 0

Reorder the terms:
-27 + -20 + 12y + -28y = 0

Combine like terms: -27 + -20 = -47
-47 + 12y + -28y = 0

Combine like terms: 12y + -28y = -16y
-47 + -16y = 0

Solving
-47 + -16y = 0

Solving for variable 'y'.

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

Add '47' to each side of the equation.
-47 + 47 + -16y = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -16y = 0 + 47
-16y = 0 + 47

Combine like terms: 0 + 47 = 47
-16y = 47

Divide each side by '-16'.
y = -2.9375

Simplifying
y = -2.9375

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