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Simplifying 8y + 40 = 4(y + 4) Reorder the terms: 40 + 8y = 4(y + 4) Reorder the terms: 40 + 8y = 4(4 + y) 40 + 8y = (4 * 4 + y * 4) 40 + 8y = (16 + 4y) Solving 40 + 8y = 16 + 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. 40 + 8y + -4y = 16 + 4y + -4y Combine like terms: 8y + -4y = 4y 40 + 4y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 40 + 4y = 16 + 0 40 + 4y = 16 Add '-40' to each side of the equation. 40 + -40 + 4y = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 4y = 16 + -40 4y = 16 + -40 Combine like terms: 16 + -40 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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