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Simplifying 8(y + 4) = 5y + 35 Reorder the terms: 8(4 + y) = 5y + 35 (4 * 8 + y * 8) = 5y + 35 (32 + 8y) = 5y + 35 Reorder the terms: 32 + 8y = 35 + 5y Solving 32 + 8y = 35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 32 + 8y + -5y = 35 + 5y + -5y Combine like terms: 8y + -5y = 3y 32 + 3y = 35 + 5y + -5y Combine like terms: 5y + -5y = 0 32 + 3y = 35 + 0 32 + 3y = 35 Add '-32' to each side of the equation. 32 + -32 + 3y = 35 + -32 Combine like terms: 32 + -32 = 0 0 + 3y = 35 + -32 3y = 35 + -32 Combine like terms: 35 + -32 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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