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

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


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

Reorder the terms:
3(-3 + 5y) + 4 = 5(2y + 5) + 5
(-3 * 3 + 5y * 3) + 4 = 5(2y + 5) + 5
(-9 + 15y) + 4 = 5(2y + 5) + 5

Reorder the terms:
-9 + 4 + 15y = 5(2y + 5) + 5

Combine like terms: -9 + 4 = -5
-5 + 15y = 5(2y + 5) + 5

Reorder the terms:
-5 + 15y = 5(5 + 2y) + 5
-5 + 15y = (5 * 5 + 2y * 5) + 5
-5 + 15y = (25 + 10y) + 5

Reorder the terms:
-5 + 15y = 25 + 5 + 10y

Combine like terms: 25 + 5 = 30
-5 + 15y = 30 + 10y

Solving
-5 + 15y = 30 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-5 + 15y + -10y = 30 + 10y + -10y

Combine like terms: 15y + -10y = 5y
-5 + 5y = 30 + 10y + -10y

Combine like terms: 10y + -10y = 0
-5 + 5y = 30 + 0
-5 + 5y = 30

Add '5' to each side of the equation.
-5 + 5 + 5y = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 5y = 30 + 5
5y = 30 + 5

Combine like terms: 30 + 5 = 35
5y = 35

Divide each side by '5'.
y = 7

Simplifying
y = 7

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