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Simplifying 5y + 41 = 8(y + 4) Reorder the terms: 41 + 5y = 8(y + 4) Reorder the terms: 41 + 5y = 8(4 + y) 41 + 5y = (4 * 8 + y * 8) 41 + 5y = (32 + 8y) Solving 41 + 5y = 32 + 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. 41 + 5y + -8y = 32 + 8y + -8y Combine like terms: 5y + -8y = -3y 41 + -3y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 41 + -3y = 32 + 0 41 + -3y = 32 Add '-41' to each side of the equation. 41 + -41 + -3y = 32 + -41 Combine like terms: 41 + -41 = 0 0 + -3y = 32 + -41 -3y = 32 + -41 Combine like terms: 32 + -41 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3
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