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Simplifying 49 + 3(y + 9) = -2(6y + 17) + 4y Reorder the terms: 49 + 3(9 + y) = -2(6y + 17) + 4y 49 + (9 * 3 + y * 3) = -2(6y + 17) + 4y 49 + (27 + 3y) = -2(6y + 17) + 4y Combine like terms: 49 + 27 = 76 76 + 3y = -2(6y + 17) + 4y Reorder the terms: 76 + 3y = -2(17 + 6y) + 4y 76 + 3y = (17 * -2 + 6y * -2) + 4y 76 + 3y = (-34 + -12y) + 4y Combine like terms: -12y + 4y = -8y 76 + 3y = -34 + -8y Solving 76 + 3y = -34 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 76 + 3y + 8y = -34 + -8y + 8y Combine like terms: 3y + 8y = 11y 76 + 11y = -34 + -8y + 8y Combine like terms: -8y + 8y = 0 76 + 11y = -34 + 0 76 + 11y = -34 Add '-76' to each side of the equation. 76 + -76 + 11y = -34 + -76 Combine like terms: 76 + -76 = 0 0 + 11y = -34 + -76 11y = -34 + -76 Combine like terms: -34 + -76 = -110 11y = -110 Divide each side by '11'. y = -10 Simplifying y = -10
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