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Simplifying 2(5y + -4) = 3(y + 0.8) + -2 Reorder the terms: 2(-4 + 5y) = 3(y + 0.8) + -2 (-4 * 2 + 5y * 2) = 3(y + 0.8) + -2 (-8 + 10y) = 3(y + 0.8) + -2 Reorder the terms: -8 + 10y = 3(0.8 + y) + -2 -8 + 10y = (0.8 * 3 + y * 3) + -2 -8 + 10y = (2.4 + 3y) + -2 Reorder the terms: -8 + 10y = 2.4 + -2 + 3y Combine like terms: 2.4 + -2 = 0.4 -8 + 10y = 0.4 + 3y Solving -8 + 10y = 0.4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 10y + -3y = 0.4 + 3y + -3y Combine like terms: 10y + -3y = 7y -8 + 7y = 0.4 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 7y = 0.4 + 0 -8 + 7y = 0.4 Add '8' to each side of the equation. -8 + 8 + 7y = 0.4 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = 0.4 + 8 7y = 0.4 + 8 Combine like terms: 0.4 + 8 = 8.4 7y = 8.4 Divide each side by '7'. y = 1.2 Simplifying y = 1.2
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