3(2y+5)-4(y-2)=-1

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Solution for 3(2y+5)-4(y-2)=-1 equation: 


Simplifying
3(2y + 5) + -4(y + -2) = -1

Reorder the terms:
3(5 + 2y) + -4(y + -2) = -1
(5 * 3 + 2y * 3) + -4(y + -2) = -1
(15 + 6y) + -4(y + -2) = -1

Reorder the terms:
15 + 6y + -4(-2 + y) = -1
15 + 6y + (-2 * -4 + y * -4) = -1
15 + 6y + (8 + -4y) = -1

Reorder the terms:
15 + 8 + 6y + -4y = -1

Combine like terms: 15 + 8 = 23
23 + 6y + -4y = -1

Combine like terms: 6y + -4y = 2y
23 + 2y = -1

Solving
23 + 2y = -1

Solving for variable 'y'.

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

Add '-23' to each side of the equation.
23 + -23 + 2y = -1 + -23

Combine like terms: 23 + -23 = 0
0 + 2y = -1 + -23
2y = -1 + -23

Combine like terms: -1 + -23 = -24
2y = -24

Divide each side by '2'.
y = -12

Simplifying
y = -12

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