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Simplifying 30y + -40 = 10y + 40 Reorder the terms: -40 + 30y = 10y + 40 Reorder the terms: -40 + 30y = 40 + 10y Solving -40 + 30y = 40 + 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 + 30y + -10y = 40 + 10y + -10y Combine like terms: 30y + -10y = 20y -40 + 20y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 -40 + 20y = 40 + 0 -40 + 20y = 40 Add '40' to each side of the equation. -40 + 40 + 20y = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 20y = 40 + 40 20y = 40 + 40 Combine like terms: 40 + 40 = 80 20y = 80 Divide each side by '20'. y = 4 Simplifying y = 4
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