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Simplifying 4(y + -0.5) + -1y = 6(5 + -1y) Reorder the terms: 4(-0.5 + y) + -1y = 6(5 + -1y) (-0.5 * 4 + y * 4) + -1y = 6(5 + -1y) (-2 + 4y) + -1y = 6(5 + -1y) Combine like terms: 4y + -1y = 3y -2 + 3y = 6(5 + -1y) -2 + 3y = (5 * 6 + -1y * 6) -2 + 3y = (30 + -6y) Solving -2 + 3y = 30 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -2 + 3y + 6y = 30 + -6y + 6y Combine like terms: 3y + 6y = 9y -2 + 9y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 -2 + 9y = 30 + 0 -2 + 9y = 30 Add '2' to each side of the equation. -2 + 2 + 9y = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 9y = 30 + 2 9y = 30 + 2 Combine like terms: 30 + 2 = 32 9y = 32 Divide each side by '9'. y = 3.555555556 Simplifying y = 3.555555556
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