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

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


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

Reorder the terms:
2y + 5(3 + 2y) = 2y + -5
2y + (3 * 5 + 2y * 5) = 2y + -5
2y + (15 + 10y) = 2y + -5

Reorder the terms:
15 + 2y + 10y = 2y + -5

Combine like terms: 2y + 10y = 12y
15 + 12y = 2y + -5

Reorder the terms:
15 + 12y = -5 + 2y

Solving
15 + 12y = -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 + 12y + -2y = -5 + 2y + -2y

Combine like terms: 12y + -2y = 10y
15 + 10y = -5 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + 10y = -5 + 0
15 + 10y = -5

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

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

Combine like terms: -5 + -15 = -20
10y = -20

Divide each side by '10'.
y = -2

Simplifying
y = -2

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