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Simplifying -5y + 41 = 4(y + 8) Reorder the terms: 41 + -5y = 4(y + 8) Reorder the terms: 41 + -5y = 4(8 + y) 41 + -5y = (8 * 4 + y * 4) 41 + -5y = (32 + 4y) Solving 41 + -5y = 32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 41 + -5y + -4y = 32 + 4y + -4y Combine like terms: -5y + -4y = -9y 41 + -9y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 41 + -9y = 32 + 0 41 + -9y = 32 Add '-41' to each side of the equation. 41 + -41 + -9y = 32 + -41 Combine like terms: 41 + -41 = 0 0 + -9y = 32 + -41 -9y = 32 + -41 Combine like terms: 32 + -41 = -9 -9y = -9 Divide each side by '-9'. y = 1 Simplifying y = 1
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