5(5y+4)+25=3(6y-5)+5

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Solution for 5(5y+4)+25=3(6y-5)+5 equation:


Simplifying
5(5y + 4) + 25 = 3(6y + -5) + 5

Reorder the terms:
5(4 + 5y) + 25 = 3(6y + -5) + 5
(4 * 5 + 5y * 5) + 25 = 3(6y + -5) + 5
(20 + 25y) + 25 = 3(6y + -5) + 5

Reorder the terms:
20 + 25 + 25y = 3(6y + -5) + 5

Combine like terms: 20 + 25 = 45
45 + 25y = 3(6y + -5) + 5

Reorder the terms:
45 + 25y = 3(-5 + 6y) + 5
45 + 25y = (-5 * 3 + 6y * 3) + 5
45 + 25y = (-15 + 18y) + 5

Reorder the terms:
45 + 25y = -15 + 5 + 18y

Combine like terms: -15 + 5 = -10
45 + 25y = -10 + 18y

Solving
45 + 25y = -10 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
45 + 25y + -18y = -10 + 18y + -18y

Combine like terms: 25y + -18y = 7y
45 + 7y = -10 + 18y + -18y

Combine like terms: 18y + -18y = 0
45 + 7y = -10 + 0
45 + 7y = -10

Add '-45' to each side of the equation.
45 + -45 + 7y = -10 + -45

Combine like terms: 45 + -45 = 0
0 + 7y = -10 + -45
7y = -10 + -45

Combine like terms: -10 + -45 = -55
7y = -55

Divide each side by '7'.
y = -7.857142857

Simplifying
y = -7.857142857

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