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

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


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

Reorder the terms:
y + 2(-5 + y) = 5(p + 3)
y + (-5 * 2 + y * 2) = 5(p + 3)
y + (-10 + 2y) = 5(p + 3)

Reorder the terms:
-10 + y + 2y = 5(p + 3)

Combine like terms: y + 2y = 3y
-10 + 3y = 5(p + 3)

Reorder the terms:
-10 + 3y = 5(3 + p)
-10 + 3y = (3 * 5 + p * 5)
-10 + 3y = (15 + 5p)

Solving
-10 + 3y = 15 + 5p

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 3y = 15 + 10 + 5p

Combine like terms: -10 + 10 = 0
0 + 3y = 15 + 10 + 5p
3y = 15 + 10 + 5p

Combine like terms: 15 + 10 = 25
3y = 25 + 5p

Divide each side by '3'.
y = 8.333333333 + 1.666666667p

Simplifying
y = 8.333333333 + 1.666666667p

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