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Simplifying 3(5y + 7) + -4(y + 6) = 63 Reorder the terms: 3(7 + 5y) + -4(y + 6) = 63 (7 * 3 + 5y * 3) + -4(y + 6) = 63 (21 + 15y) + -4(y + 6) = 63 Reorder the terms: 21 + 15y + -4(6 + y) = 63 21 + 15y + (6 * -4 + y * -4) = 63 21 + 15y + (-24 + -4y) = 63 Reorder the terms: 21 + -24 + 15y + -4y = 63 Combine like terms: 21 + -24 = -3 -3 + 15y + -4y = 63 Combine like terms: 15y + -4y = 11y -3 + 11y = 63 Solving -3 + 11y = 63 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11y = 63 + 3 Combine like terms: -3 + 3 = 0 0 + 11y = 63 + 3 11y = 63 + 3 Combine like terms: 63 + 3 = 66 11y = 66 Divide each side by '11'. y = 6 Simplifying y = 6
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