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Simplifying 35y + 12 = 40y + 42 Reorder the terms: 12 + 35y = 40y + 42 Reorder the terms: 12 + 35y = 42 + 40y Solving 12 + 35y = 42 + 40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40y' to each side of the equation. 12 + 35y + -40y = 42 + 40y + -40y Combine like terms: 35y + -40y = -5y 12 + -5y = 42 + 40y + -40y Combine like terms: 40y + -40y = 0 12 + -5y = 42 + 0 12 + -5y = 42 Add '-12' to each side of the equation. 12 + -12 + -5y = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = 42 + -12 -5y = 42 + -12 Combine like terms: 42 + -12 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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