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Simplifying -3y + -0.5(6y + 4) = 8y + -9 Reorder the terms: -3y + -0.5(4 + 6y) = 8y + -9 -3y + (4 * -0.5 + 6y * -0.5) = 8y + -9 -3y + (-2 + -3y) = 8y + -9 Reorder the terms: -2 + -3y + -3y = 8y + -9 Combine like terms: -3y + -3y = -6y -2 + -6y = 8y + -9 Reorder the terms: -2 + -6y = -9 + 8y Solving -2 + -6y = -9 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -2 + -6y + -8y = -9 + 8y + -8y Combine like terms: -6y + -8y = -14y -2 + -14y = -9 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + -14y = -9 + 0 -2 + -14y = -9 Add '2' to each side of the equation. -2 + 2 + -14y = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -14y = -9 + 2 -14y = -9 + 2 Combine like terms: -9 + 2 = -7 -14y = -7 Divide each side by '-14'. y = 0.5 Simplifying y = 0.5
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