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Simplifying 3y + -5 + 0.5(2y + -8) = 7y + -2y + 3 Reorder the terms: 3y + -5 + 0.5(-8 + 2y) = 7y + -2y + 3 3y + -5 + (-8 * 0.5 + 2y * 0.5) = 7y + -2y + 3 3y + -5 + (-4 + 1y) = 7y + -2y + 3 Reorder the terms: -5 + -4 + 3y + 1y = 7y + -2y + 3 Combine like terms: -5 + -4 = -9 -9 + 3y + 1y = 7y + -2y + 3 Combine like terms: 3y + 1y = 4y -9 + 4y = 7y + -2y + 3 Reorder the terms: -9 + 4y = 3 + 7y + -2y Combine like terms: 7y + -2y = 5y -9 + 4y = 3 + 5y Solving -9 + 4y = 3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -9 + 4y + -5y = 3 + 5y + -5y Combine like terms: 4y + -5y = -1y -9 + -1y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + -1y = 3 + 0 -9 + -1y = 3 Add '9' to each side of the equation. -9 + 9 + -1y = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 3 + 9 -1y = 3 + 9 Combine like terms: 3 + 9 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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