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Simplifying 6(80 + -1y) + 2y + 105 + -1(80 + -1y) = 340 (80 * 6 + -1y * 6) + 2y + 105 + -1(80 + -1y) = 340 (480 + -6y) + 2y + 105 + -1(80 + -1y) = 340 480 + -6y + 2y + 105 + (80 * -1 + -1y * -1) = 340 480 + -6y + 2y + 105 + (-80 + 1y) = 340 Reorder the terms: 480 + 105 + -80 + -6y + 2y + 1y = 340 Combine like terms: 480 + 105 = 585 585 + -80 + -6y + 2y + 1y = 340 Combine like terms: 585 + -80 = 505 505 + -6y + 2y + 1y = 340 Combine like terms: -6y + 2y = -4y 505 + -4y + 1y = 340 Combine like terms: -4y + 1y = -3y 505 + -3y = 340 Solving 505 + -3y = 340 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-505' to each side of the equation. 505 + -505 + -3y = 340 + -505 Combine like terms: 505 + -505 = 0 0 + -3y = 340 + -505 -3y = 340 + -505 Combine like terms: 340 + -505 = -165 -3y = -165 Divide each side by '-3'. y = 55 Simplifying y = 55
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