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Simplifying 2.3y + 5(0.3y + -1.6) = -4(1.25y + -0.2) Reorder the terms: 2.3y + 5(-1.6 + 0.3y) = -4(1.25y + -0.2) 2.3y + (-1.6 * 5 + 0.3y * 5) = -4(1.25y + -0.2) 2.3y + (-8 + 1.5y) = -4(1.25y + -0.2) Reorder the terms: -8 + 2.3y + 1.5y = -4(1.25y + -0.2) Combine like terms: 2.3y + 1.5y = 3.8y -8 + 3.8y = -4(1.25y + -0.2) Reorder the terms: -8 + 3.8y = -4(-0.2 + 1.25y) -8 + 3.8y = (-0.2 * -4 + 1.25y * -4) -8 + 3.8y = (0.8 + -5y) Solving -8 + 3.8y = 0.8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -8 + 3.8y + 5y = 0.8 + -5y + 5y Combine like terms: 3.8y + 5y = 8.8y -8 + 8.8y = 0.8 + -5y + 5y Combine like terms: -5y + 5y = 0 -8 + 8.8y = 0.8 + 0 -8 + 8.8y = 0.8 Add '8' to each side of the equation. -8 + 8 + 8.8y = 0.8 + 8 Combine like terms: -8 + 8 = 0 0 + 8.8y = 0.8 + 8 8.8y = 0.8 + 8 Combine like terms: 0.8 + 8 = 8.8 8.8y = 8.8 Divide each side by '8.8'. y = 1 Simplifying y = 1
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