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Simplifying 6(y + -4) + 5(y + 3) = 46 Reorder the terms: 6(-4 + y) + 5(y + 3) = 46 (-4 * 6 + y * 6) + 5(y + 3) = 46 (-24 + 6y) + 5(y + 3) = 46 Reorder the terms: -24 + 6y + 5(3 + y) = 46 -24 + 6y + (3 * 5 + y * 5) = 46 -24 + 6y + (15 + 5y) = 46 Reorder the terms: -24 + 15 + 6y + 5y = 46 Combine like terms: -24 + 15 = -9 -9 + 6y + 5y = 46 Combine like terms: 6y + 5y = 11y -9 + 11y = 46 Solving -9 + 11y = 46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 11y = 46 + 9 Combine like terms: -9 + 9 = 0 0 + 11y = 46 + 9 11y = 46 + 9 Combine like terms: 46 + 9 = 55 11y = 55 Divide each side by '11'. y = 5 Simplifying y = 5
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