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Simplifying 5(y + 3) = 7y + 21 Reorder the terms: 5(3 + y) = 7y + 21 (3 * 5 + y * 5) = 7y + 21 (15 + 5y) = 7y + 21 Reorder the terms: 15 + 5y = 21 + 7y Solving 15 + 5y = 21 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 15 + 5y + -7y = 21 + 7y + -7y Combine like terms: 5y + -7y = -2y 15 + -2y = 21 + 7y + -7y Combine like terms: 7y + -7y = 0 15 + -2y = 21 + 0 15 + -2y = 21 Add '-15' to each side of the equation. 15 + -15 + -2y = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -2y = 21 + -15 -2y = 21 + -15 Combine like terms: 21 + -15 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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