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Simplifying 5(y + 4) = 7y + 38 Reorder the terms: 5(4 + y) = 7y + 38 (4 * 5 + y * 5) = 7y + 38 (20 + 5y) = 7y + 38 Reorder the terms: 20 + 5y = 38 + 7y Solving 20 + 5y = 38 + 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. 20 + 5y + -7y = 38 + 7y + -7y Combine like terms: 5y + -7y = -2y 20 + -2y = 38 + 7y + -7y Combine like terms: 7y + -7y = 0 20 + -2y = 38 + 0 20 + -2y = 38 Add '-20' to each side of the equation. 20 + -20 + -2y = 38 + -20 Combine like terms: 20 + -20 = 0 0 + -2y = 38 + -20 -2y = 38 + -20 Combine like terms: 38 + -20 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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