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Simplifying 4(y + -0.5) = 9(y + 0.5) Reorder the terms: 4(-0.5 + y) = 9(y + 0.5) (-0.5 * 4 + y * 4) = 9(y + 0.5) (-2 + 4y) = 9(y + 0.5) Reorder the terms: -2 + 4y = 9(0.5 + y) -2 + 4y = (0.5 * 9 + y * 9) -2 + 4y = (4.5 + 9y) Solving -2 + 4y = 4.5 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -2 + 4y + -9y = 4.5 + 9y + -9y Combine like terms: 4y + -9y = -5y -2 + -5y = 4.5 + 9y + -9y Combine like terms: 9y + -9y = 0 -2 + -5y = 4.5 + 0 -2 + -5y = 4.5 Add '2' to each side of the equation. -2 + 2 + -5y = 4.5 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 4.5 + 2 -5y = 4.5 + 2 Combine like terms: 4.5 + 2 = 6.5 -5y = 6.5 Divide each side by '-5'. y = -1.3 Simplifying y = -1.3
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