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Simplifying 0.5(7y + -4) + y = 3y + -0.5(6 + -5y) Reorder the terms: 0.5(-4 + 7y) + y = 3y + -0.5(6 + -5y) (-4 * 0.5 + 7y * 0.5) + y = 3y + -0.5(6 + -5y) (-2 + 3.5y) + y = 3y + -0.5(6 + -5y) Combine like terms: 3.5y + y = 4.5y -2 + 4.5y = 3y + -0.5(6 + -5y) -2 + 4.5y = 3y + (6 * -0.5 + -5y * -0.5) -2 + 4.5y = 3y + (-3 + 2.5y) Reorder the terms: -2 + 4.5y = -3 + 3y + 2.5y Combine like terms: 3y + 2.5y = 5.5y -2 + 4.5y = -3 + 5.5y Solving -2 + 4.5y = -3 + 5.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.5y' to each side of the equation. -2 + 4.5y + -5.5y = -3 + 5.5y + -5.5y Combine like terms: 4.5y + -5.5y = -1y -2 + -1y = -3 + 5.5y + -5.5y Combine like terms: 5.5y + -5.5y = 0.0 -2 + -1y = -3 + 0.0 -2 + -1y = -3 Add '2' to each side of the equation. -2 + 2 + -1y = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = -3 + 2 -1y = -3 + 2 Combine like terms: -3 + 2 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1
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