2y+3(4y+5)=-6

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Solution for 2y+3(4y+5)=-6 equation:


Simplifying
2y + 3(4y + 5) = -6

Reorder the terms:
2y + 3(5 + 4y) = -6
2y + (5 * 3 + 4y * 3) = -6
2y + (15 + 12y) = -6

Reorder the terms:
15 + 2y + 12y = -6

Combine like terms: 2y + 12y = 14y
15 + 14y = -6

Solving
15 + 14y = -6

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 + 14y = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 14y = -6 + -15
14y = -6 + -15

Combine like terms: -6 + -15 = -21
14y = -21

Divide each side by '14'.
y = -1.5

Simplifying
y = -1.5

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