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Simplifying -2(-1y + -5) + -7(4y + -7) = y + 5 + 3y Reorder the terms: -2(-5 + -1y) + -7(4y + -7) = y + 5 + 3y (-5 * -2 + -1y * -2) + -7(4y + -7) = y + 5 + 3y (10 + 2y) + -7(4y + -7) = y + 5 + 3y Reorder the terms: 10 + 2y + -7(-7 + 4y) = y + 5 + 3y 10 + 2y + (-7 * -7 + 4y * -7) = y + 5 + 3y 10 + 2y + (49 + -28y) = y + 5 + 3y Reorder the terms: 10 + 49 + 2y + -28y = y + 5 + 3y Combine like terms: 10 + 49 = 59 59 + 2y + -28y = y + 5 + 3y Combine like terms: 2y + -28y = -26y 59 + -26y = y + 5 + 3y Reorder the terms: 59 + -26y = 5 + y + 3y Combine like terms: y + 3y = 4y 59 + -26y = 5 + 4y Solving 59 + -26y = 5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 59 + -26y + -4y = 5 + 4y + -4y Combine like terms: -26y + -4y = -30y 59 + -30y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 59 + -30y = 5 + 0 59 + -30y = 5 Add '-59' to each side of the equation. 59 + -59 + -30y = 5 + -59 Combine like terms: 59 + -59 = 0 0 + -30y = 5 + -59 -30y = 5 + -59 Combine like terms: 5 + -59 = -54 -30y = -54 Divide each side by '-30'. y = 1.8 Simplifying y = 1.8
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