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Simplifying 5y + 21 = 5 + -6(3y + 5) Reorder the terms: 21 + 5y = 5 + -6(3y + 5) Reorder the terms: 21 + 5y = 5 + -6(5 + 3y) 21 + 5y = 5 + (5 * -6 + 3y * -6) 21 + 5y = 5 + (-30 + -18y) Combine like terms: 5 + -30 = -25 21 + 5y = -25 + -18y Solving 21 + 5y = -25 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. 21 + 5y + 18y = -25 + -18y + 18y Combine like terms: 5y + 18y = 23y 21 + 23y = -25 + -18y + 18y Combine like terms: -18y + 18y = 0 21 + 23y = -25 + 0 21 + 23y = -25 Add '-21' to each side of the equation. 21 + -21 + 23y = -25 + -21 Combine like terms: 21 + -21 = 0 0 + 23y = -25 + -21 23y = -25 + -21 Combine like terms: -25 + -21 = -46 23y = -46 Divide each side by '23'. y = -2 Simplifying y = -2
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