5(5y-7)=4(3y+19)

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Solution for 5(5y-7)=4(3y+19) equation:


Simplifying
5(5y + -7) = 4(3y + 19)

Reorder the terms:
5(-7 + 5y) = 4(3y + 19)
(-7 * 5 + 5y * 5) = 4(3y + 19)
(-35 + 25y) = 4(3y + 19)

Reorder the terms:
-35 + 25y = 4(19 + 3y)
-35 + 25y = (19 * 4 + 3y * 4)
-35 + 25y = (76 + 12y)

Solving
-35 + 25y = 76 + 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 + 25y + -12y = 76 + 12y + -12y

Combine like terms: 25y + -12y = 13y
-35 + 13y = 76 + 12y + -12y

Combine like terms: 12y + -12y = 0
-35 + 13y = 76 + 0
-35 + 13y = 76

Add '35' to each side of the equation.
-35 + 35 + 13y = 76 + 35

Combine like terms: -35 + 35 = 0
0 + 13y = 76 + 35
13y = 76 + 35

Combine like terms: 76 + 35 = 111
13y = 111

Divide each side by '13'.
y = 8.538461538

Simplifying
y = 8.538461538

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