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Simplifying 8(y + 5) = y(10) Reorder the terms: 8(5 + y) = y(10) (5 * 8 + y * 8) = y(10) (40 + 8y) = y(10) Reorder the terms for easier multiplication: 40 + 8y = 10y Solving 40 + 8y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 40 + 8y + -10y = 10y + -10y Combine like terms: 8y + -10y = -2y 40 + -2y = 10y + -10y Combine like terms: 10y + -10y = 0 40 + -2y = 0 Add '-40' to each side of the equation. 40 + -40 + -2y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2y = 0 + -40 -2y = 0 + -40 Combine like terms: 0 + -40 = -40 -2y = -40 Divide each side by '-2'. y = 20 Simplifying y = 20
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