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Simplifying 6(y + -9) = 5(y + -7) Reorder the terms: 6(-9 + y) = 5(y + -7) (-9 * 6 + y * 6) = 5(y + -7) (-54 + 6y) = 5(y + -7) Reorder the terms: -54 + 6y = 5(-7 + y) -54 + 6y = (-7 * 5 + y * 5) -54 + 6y = (-35 + 5y) Solving -54 + 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. -54 + 6y + -5y = -35 + 5y + -5y Combine like terms: 6y + -5y = 1y -54 + 1y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 -54 + 1y = -35 + 0 -54 + 1y = -35 Add '54' to each side of the equation. -54 + 54 + 1y = -35 + 54 Combine like terms: -54 + 54 = 0 0 + 1y = -35 + 54 1y = -35 + 54 Combine like terms: -35 + 54 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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