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Simplifying 30 + 4y = -2y + 40 Reorder the terms: 30 + 4y = 40 + -2y Solving 30 + 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. 30 + 4y + 2y = 40 + -2y + 2y Combine like terms: 4y + 2y = 6y 30 + 6y = 40 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + 6y = 40 + 0 30 + 6y = 40 Add '-30' to each side of the equation. 30 + -30 + 6y = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 6y = 40 + -30 6y = 40 + -30 Combine like terms: 40 + -30 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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