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Simplifying 8(y + -3) + 3(y + 1) = 45 Reorder the terms: 8(-3 + y) + 3(y + 1) = 45 (-3 * 8 + y * 8) + 3(y + 1) = 45 (-24 + 8y) + 3(y + 1) = 45 Reorder the terms: -24 + 8y + 3(1 + y) = 45 -24 + 8y + (1 * 3 + y * 3) = 45 -24 + 8y + (3 + 3y) = 45 Reorder the terms: -24 + 3 + 8y + 3y = 45 Combine like terms: -24 + 3 = -21 -21 + 8y + 3y = 45 Combine like terms: 8y + 3y = 11y -21 + 11y = 45 Solving -21 + 11y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 11y = 45 + 21 Combine like terms: -21 + 21 = 0 0 + 11y = 45 + 21 11y = 45 + 21 Combine like terms: 45 + 21 = 66 11y = 66 Divide each side by '11'. y = 6 Simplifying y = 6
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