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Simplifying 0.5(2y + 4) + -9 = -0.5(6y + -10) Reorder the terms: 0.5(4 + 2y) + -9 = -0.5(6y + -10) (4 * 0.5 + 2y * 0.5) + -9 = -0.5(6y + -10) (2 + 1y) + -9 = -0.5(6y + -10) Reorder the terms: 2 + -9 + 1y = -0.5(6y + -10) Combine like terms: 2 + -9 = -7 -7 + 1y = -0.5(6y + -10) Reorder the terms: -7 + 1y = -0.5(-10 + 6y) -7 + 1y = (-10 * -0.5 + 6y * -0.5) -7 + 1y = (5 + -3y) Solving -7 + 1y = 5 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -7 + 1y + 3y = 5 + -3y + 3y Combine like terms: 1y + 3y = 4y -7 + 4y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + 4y = 5 + 0 -7 + 4y = 5 Add '7' to each side of the equation. -7 + 7 + 4y = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 5 + 7 4y = 5 + 7 Combine like terms: 5 + 7 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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