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Simplifying 0.5(3y + -5) = 2y + -6 Reorder the terms: 0.5(-5 + 3y) = 2y + -6 (-5 * 0.5 + 3y * 0.5) = 2y + -6 (-2.5 + 1.5y) = 2y + -6 Reorder the terms: -2.5 + 1.5y = -6 + 2y Solving -2.5 + 1.5y = -6 + 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. -2.5 + 1.5y + -2y = -6 + 2y + -2y Combine like terms: 1.5y + -2y = -0.5y -2.5 + -0.5y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -2.5 + -0.5y = -6 + 0 -2.5 + -0.5y = -6 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.5y = -6 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.5y = -6 + 2.5 -0.5y = -6 + 2.5 Combine like terms: -6 + 2.5 = -3.5 -0.5y = -3.5 Divide each side by '-0.5'. y = 7 Simplifying y = 7
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