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Simplifying 4y + 40 = 8(y + 3) Reorder the terms: 40 + 4y = 8(y + 3) Reorder the terms: 40 + 4y = 8(3 + y) 40 + 4y = (3 * 8 + y * 8) 40 + 4y = (24 + 8y) Solving 40 + 4y = 24 + 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. 40 + 4y + -8y = 24 + 8y + -8y Combine like terms: 4y + -8y = -4y 40 + -4y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 40 + -4y = 24 + 0 40 + -4y = 24 Add '-40' to each side of the equation. 40 + -40 + -4y = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -4y = 24 + -40 -4y = 24 + -40 Combine like terms: 24 + -40 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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