5(3y+2)=-(6y-7)

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Solution for 5(3y+2)=-(6y-7) equation:


Simplifying
5(3y + 2) = -1(6y + -7)

Reorder the terms:
5(2 + 3y) = -1(6y + -7)
(2 * 5 + 3y * 5) = -1(6y + -7)
(10 + 15y) = -1(6y + -7)

Reorder the terms:
10 + 15y = -1(-7 + 6y)
10 + 15y = (-7 * -1 + 6y * -1)
10 + 15y = (7 + -6y)

Solving
10 + 15y = 7 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
10 + 15y + 6y = 7 + -6y + 6y

Combine like terms: 15y + 6y = 21y
10 + 21y = 7 + -6y + 6y

Combine like terms: -6y + 6y = 0
10 + 21y = 7 + 0
10 + 21y = 7

Add '-10' to each side of the equation.
10 + -10 + 21y = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 21y = 7 + -10
21y = 7 + -10

Combine like terms: 7 + -10 = -3
21y = -3

Divide each side by '21'.
y = -0.1428571429

Simplifying
y = -0.1428571429

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