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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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