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Simplifying 3y = 5(y + -2) + 2y + 12 Reorder the terms: 3y = 5(-2 + y) + 2y + 12 3y = (-2 * 5 + y * 5) + 2y + 12 3y = (-10 + 5y) + 2y + 12 Reorder the terms: 3y = -10 + 12 + 5y + 2y Combine like terms: -10 + 12 = 2 3y = 2 + 5y + 2y Combine like terms: 5y + 2y = 7y 3y = 2 + 7y Solving 3y = 2 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 3y + -7y = 2 + 7y + -7y Combine like terms: 3y + -7y = -4y -4y = 2 + 7y + -7y Combine like terms: 7y + -7y = 0 -4y = 2 + 0 -4y = 2 Divide each side by '-4'. y = -0.5 Simplifying y = -0.5
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