3(2y+5)-7(3y-4)=

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Solution for 3(2y+5)-7(3y-4)= equation:


Simplifying
3(2y + 5) + -7(3y + -4) = 0

Reorder the terms:
3(5 + 2y) + -7(3y + -4) = 0
(5 * 3 + 2y * 3) + -7(3y + -4) = 0
(15 + 6y) + -7(3y + -4) = 0

Reorder the terms:
15 + 6y + -7(-4 + 3y) = 0
15 + 6y + (-4 * -7 + 3y * -7) = 0
15 + 6y + (28 + -21y) = 0

Reorder the terms:
15 + 28 + 6y + -21y = 0

Combine like terms: 15 + 28 = 43
43 + 6y + -21y = 0

Combine like terms: 6y + -21y = -15y
43 + -15y = 0

Solving
43 + -15y = 0

Solving for variable 'y'.

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

Add '-43' to each side of the equation.
43 + -43 + -15y = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -15y = 0 + -43
-15y = 0 + -43

Combine like terms: 0 + -43 = -43
-15y = -43

Divide each side by '-15'.
y = 2.866666667

Simplifying
y = 2.866666667

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