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Simplifying 5(y + 3) = -3y + -49 Reorder the terms: 5(3 + y) = -3y + -49 (3 * 5 + y * 5) = -3y + -49 (15 + 5y) = -3y + -49 Reorder the terms: 15 + 5y = -49 + -3y Solving 15 + 5y = -49 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 15 + 5y + 3y = -49 + -3y + 3y Combine like terms: 5y + 3y = 8y 15 + 8y = -49 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + 8y = -49 + 0 15 + 8y = -49 Add '-15' to each side of the equation. 15 + -15 + 8y = -49 + -15 Combine like terms: 15 + -15 = 0 0 + 8y = -49 + -15 8y = -49 + -15 Combine like terms: -49 + -15 = -64 8y = -64 Divide each side by '8'. y = -8 Simplifying y = -8
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