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Simplifying 4(y + 1) = 40 + -2y Reorder the terms: 4(1 + y) = 40 + -2y (1 * 4 + y * 4) = 40 + -2y (4 + 4y) = 40 + -2y Solving 4 + 4y = 40 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + 4y + 2y = 40 + -2y + 2y Combine like terms: 4y + 2y = 6y 4 + 6y = 40 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 6y = 40 + 0 4 + 6y = 40 Add '-4' to each side of the equation. 4 + -4 + 6y = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = 40 + -4 6y = 40 + -4 Combine like terms: 40 + -4 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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