7(2y-5)=4(3y+6)

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Solution for 7(2y-5)=4(3y+6) equation:


Simplifying
7(2y + -5) = 4(3y + 6)

Reorder the terms:
7(-5 + 2y) = 4(3y + 6)
(-5 * 7 + 2y * 7) = 4(3y + 6)
(-35 + 14y) = 4(3y + 6)

Reorder the terms:
-35 + 14y = 4(6 + 3y)
-35 + 14y = (6 * 4 + 3y * 4)
-35 + 14y = (24 + 12y)

Solving
-35 + 14y = 24 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-35 + 14y + -12y = 24 + 12y + -12y

Combine like terms: 14y + -12y = 2y
-35 + 2y = 24 + 12y + -12y

Combine like terms: 12y + -12y = 0
-35 + 2y = 24 + 0
-35 + 2y = 24

Add '35' to each side of the equation.
-35 + 35 + 2y = 24 + 35

Combine like terms: -35 + 35 = 0
0 + 2y = 24 + 35
2y = 24 + 35

Combine like terms: 24 + 35 = 59
2y = 59

Divide each side by '2'.
y = 29.5

Simplifying
y = 29.5

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