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Simplifying -0.75(-2y + 5) + 3 = 0.4(y + -1) * 4 Reorder the terms: -0.75(5 + -2y) + 3 = 0.4(y + -1) * 4 (5 * -0.75 + -2y * -0.75) + 3 = 0.4(y + -1) * 4 (-3.75 + 1.5y) + 3 = 0.4(y + -1) * 4 Reorder the terms: -3.75 + 3 + 1.5y = 0.4(y + -1) * 4 Combine like terms: -3.75 + 3 = -0.75 -0.75 + 1.5y = 0.4(y + -1) * 4 Reorder the terms: -0.75 + 1.5y = 0.4(-1 + y) * 4 Reorder the terms for easier multiplication: -0.75 + 1.5y = 0.4 * 4(-1 + y) Multiply 0.4 * 4 -0.75 + 1.5y = 1.6(-1 + y) -0.75 + 1.5y = (-1 * 1.6 + y * 1.6) -0.75 + 1.5y = (-1.6 + 1.6y) Solving -0.75 + 1.5y = -1.6 + 1.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.6y' to each side of the equation. -0.75 + 1.5y + -1.6y = -1.6 + 1.6y + -1.6y Combine like terms: 1.5y + -1.6y = -0.1y -0.75 + -0.1y = -1.6 + 1.6y + -1.6y Combine like terms: 1.6y + -1.6y = 0.0 -0.75 + -0.1y = -1.6 + 0.0 -0.75 + -0.1y = -1.6 Add '0.75' to each side of the equation. -0.75 + 0.75 + -0.1y = -1.6 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.1y = -1.6 + 0.75 -0.1y = -1.6 + 0.75 Combine like terms: -1.6 + 0.75 = -0.85 -0.1y = -0.85 Divide each side by '-0.1'. y = 8.5 Simplifying y = 8.5
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