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Simplifying 4y + 21 = -5(y + -6) Reorder the terms: 21 + 4y = -5(y + -6) Reorder the terms: 21 + 4y = -5(-6 + y) 21 + 4y = (-6 * -5 + y * -5) 21 + 4y = (30 + -5y) Solving 21 + 4y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 21 + 4y + 5y = 30 + -5y + 5y Combine like terms: 4y + 5y = 9y 21 + 9y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 21 + 9y = 30 + 0 21 + 9y = 30 Add '-21' to each side of the equation. 21 + -21 + 9y = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 9y = 30 + -21 9y = 30 + -21 Combine like terms: 30 + -21 = 9 9y = 9 Divide each side by '9'. y = 1 Simplifying y = 1
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