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Simplifying 1.75(y + -2) = 2y + 4.5 Reorder the terms: 1.75(-2 + y) = 2y + 4.5 (-2 * 1.75 + y * 1.75) = 2y + 4.5 (-3.5 + 1.75y) = 2y + 4.5 Reorder the terms: -3.5 + 1.75y = 4.5 + 2y Solving -3.5 + 1.75y = 4.5 + 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. -3.5 + 1.75y + -2y = 4.5 + 2y + -2y Combine like terms: 1.75y + -2y = -0.25y -3.5 + -0.25y = 4.5 + 2y + -2y Combine like terms: 2y + -2y = 0 -3.5 + -0.25y = 4.5 + 0 -3.5 + -0.25y = 4.5 Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.25y = 4.5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.25y = 4.5 + 3.5 -0.25y = 4.5 + 3.5 Combine like terms: 4.5 + 3.5 = 8 -0.25y = 8 Divide each side by '-0.25'. y = -32 Simplifying y = -32
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