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Simplifying 9y + -5 = -6(y + -7) Reorder the terms: -5 + 9y = -6(y + -7) Reorder the terms: -5 + 9y = -6(-7 + y) -5 + 9y = (-7 * -6 + y * -6) -5 + 9y = (42 + -6y) Solving -5 + 9y = 42 + -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. -5 + 9y + 6y = 42 + -6y + 6y Combine like terms: 9y + 6y = 15y -5 + 15y = 42 + -6y + 6y Combine like terms: -6y + 6y = 0 -5 + 15y = 42 + 0 -5 + 15y = 42 Add '5' to each side of the equation. -5 + 5 + 15y = 42 + 5 Combine like terms: -5 + 5 = 0 0 + 15y = 42 + 5 15y = 42 + 5 Combine like terms: 42 + 5 = 47 15y = 47 Divide each side by '15'. y = 3.133333333 Simplifying y = 3.133333333
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