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Simplifying 38 + 7y = 8(y + 5) Reorder the terms: 38 + 7y = 8(5 + y) 38 + 7y = (5 * 8 + y * 8) 38 + 7y = (40 + 8y) Solving 38 + 7y = 40 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 38 + 7y + -8y = 40 + 8y + -8y Combine like terms: 7y + -8y = -1y 38 + -1y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 38 + -1y = 40 + 0 38 + -1y = 40 Add '-38' to each side of the equation. 38 + -38 + -1y = 40 + -38 Combine like terms: 38 + -38 = 0 0 + -1y = 40 + -38 -1y = 40 + -38 Combine like terms: 40 + -38 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2
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