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

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


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

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

Reorder the terms:
-15 + 2y + -5y = 2y + 5

Combine like terms: 2y + -5y = -3y
-15 + -3y = 2y + 5

Reorder the terms:
-15 + -3y = 5 + 2y

Solving
-15 + -3y = 5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-15 + -3y + -2y = 5 + 2y + -2y

Combine like terms: -3y + -2y = -5y
-15 + -5y = 5 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + -5y = 5 + 0
-15 + -5y = 5

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

Combine like terms: -15 + 15 = 0
0 + -5y = 5 + 15
-5y = 5 + 15

Combine like terms: 5 + 15 = 20
-5y = 20

Divide each side by '-5'.
y = -4

Simplifying
y = -4

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