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Simplifying 3y + 40 = 10y + 12 Reorder the terms: 40 + 3y = 10y + 12 Reorder the terms: 40 + 3y = 12 + 10y Solving 40 + 3y = 12 + 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 + 3y + -10y = 12 + 10y + -10y Combine like terms: 3y + -10y = -7y 40 + -7y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 40 + -7y = 12 + 0 40 + -7y = 12 Add '-40' to each side of the equation. 40 + -40 + -7y = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -7y = 12 + -40 -7y = 12 + -40 Combine like terms: 12 + -40 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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