5(5y-3)+25=3(3y+2)-18

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Solution for 5(5y-3)+25=3(3y+2)-18 equation:


Simplifying
5(5y + -3) + 25 = 3(3y + 2) + -18

Reorder the terms:
5(-3 + 5y) + 25 = 3(3y + 2) + -18
(-3 * 5 + 5y * 5) + 25 = 3(3y + 2) + -18
(-15 + 25y) + 25 = 3(3y + 2) + -18

Reorder the terms:
-15 + 25 + 25y = 3(3y + 2) + -18

Combine like terms: -15 + 25 = 10
10 + 25y = 3(3y + 2) + -18

Reorder the terms:
10 + 25y = 3(2 + 3y) + -18
10 + 25y = (2 * 3 + 3y * 3) + -18
10 + 25y = (6 + 9y) + -18

Reorder the terms:
10 + 25y = 6 + -18 + 9y

Combine like terms: 6 + -18 = -12
10 + 25y = -12 + 9y

Solving
10 + 25y = -12 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
10 + 25y + -9y = -12 + 9y + -9y

Combine like terms: 25y + -9y = 16y
10 + 16y = -12 + 9y + -9y

Combine like terms: 9y + -9y = 0
10 + 16y = -12 + 0
10 + 16y = -12

Add '-10' to each side of the equation.
10 + -10 + 16y = -12 + -10

Combine like terms: 10 + -10 = 0
0 + 16y = -12 + -10
16y = -12 + -10

Combine like terms: -12 + -10 = -22
16y = -22

Divide each side by '16'.
y = -1.375

Simplifying
y = -1.375

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