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Simplifying -6y + -9 = 5(y + 7) Reorder the terms: -9 + -6y = 5(y + 7) Reorder the terms: -9 + -6y = 5(7 + y) -9 + -6y = (7 * 5 + y * 5) -9 + -6y = (35 + 5y) Solving -9 + -6y = 35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -9 + -6y + -5y = 35 + 5y + -5y Combine like terms: -6y + -5y = -11y -9 + -11y = 35 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + -11y = 35 + 0 -9 + -11y = 35 Add '9' to each side of the equation. -9 + 9 + -11y = 35 + 9 Combine like terms: -9 + 9 = 0 0 + -11y = 35 + 9 -11y = 35 + 9 Combine like terms: 35 + 9 = 44 -11y = 44 Divide each side by '-11'. y = -4 Simplifying y = -4
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