2y+3(y+5)=-10

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Solution for 2y+3(y+5)=-10 equation:


Simplifying
2y + 3(y + 5) = -10

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

Reorder the terms:
15 + 2y + 3y = -10

Combine like terms: 2y + 3y = 5y
15 + 5y = -10

Solving
15 + 5y = -10

Solving for variable 'y'.

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

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

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

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

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

Simplifying
y = -5

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