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Simplifying 3y + 2 + 4y + -0.5(2y + -10) = 2y + 12 Reorder the terms: 3y + 2 + 4y + -0.5(-10 + 2y) = 2y + 12 3y + 2 + 4y + (-10 * -0.5 + 2y * -0.5) = 2y + 12 3y + 2 + 4y + (5 + -1y) = 2y + 12 Reorder the terms: 2 + 5 + 3y + 4y + -1y = 2y + 12 Combine like terms: 2 + 5 = 7 7 + 3y + 4y + -1y = 2y + 12 Combine like terms: 3y + 4y = 7y 7 + 7y + -1y = 2y + 12 Combine like terms: 7y + -1y = 6y 7 + 6y = 2y + 12 Reorder the terms: 7 + 6y = 12 + 2y Solving 7 + 6y = 12 + 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. 7 + 6y + -2y = 12 + 2y + -2y Combine like terms: 6y + -2y = 4y 7 + 4y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 4y = 12 + 0 7 + 4y = 12 Add '-7' to each side of the equation. 7 + -7 + 4y = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 12 + -7 4y = 12 + -7 Combine like terms: 12 + -7 = 5 4y = 5 Divide each side by '4'. y = 1.25 Simplifying y = 1.25
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