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Simplifying 3y + -1(-180 + 10y) = 8(-180 + 10y) + 40 3y + (-180 * -1 + 10y * -1) = 8(-180 + 10y) + 40 3y + (180 + -10y) = 8(-180 + 10y) + 40 Reorder the terms: 180 + 3y + -10y = 8(-180 + 10y) + 40 Combine like terms: 3y + -10y = -7y 180 + -7y = 8(-180 + 10y) + 40 180 + -7y = (-180 * 8 + 10y * 8) + 40 180 + -7y = (-1440 + 80y) + 40 Reorder the terms: 180 + -7y = -1440 + 40 + 80y Combine like terms: -1440 + 40 = -1400 180 + -7y = -1400 + 80y Solving 180 + -7y = -1400 + 80y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-80y' to each side of the equation. 180 + -7y + -80y = -1400 + 80y + -80y Combine like terms: -7y + -80y = -87y 180 + -87y = -1400 + 80y + -80y Combine like terms: 80y + -80y = 0 180 + -87y = -1400 + 0 180 + -87y = -1400 Add '-180' to each side of the equation. 180 + -180 + -87y = -1400 + -180 Combine like terms: 180 + -180 = 0 0 + -87y = -1400 + -180 -87y = -1400 + -180 Combine like terms: -1400 + -180 = -1580 -87y = -1580 Divide each side by '-87'. y = 18.16091954 Simplifying y = 18.16091954
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