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Simplifying -5(1 + -5y) + 5(-8y + -2) = -4y + -8y (1 * -5 + -5y * -5) + 5(-8y + -2) = -4y + -8y (-5 + 25y) + 5(-8y + -2) = -4y + -8y Reorder the terms: -5 + 25y + 5(-2 + -8y) = -4y + -8y -5 + 25y + (-2 * 5 + -8y * 5) = -4y + -8y -5 + 25y + (-10 + -40y) = -4y + -8y Reorder the terms: -5 + -10 + 25y + -40y = -4y + -8y Combine like terms: -5 + -10 = -15 -15 + 25y + -40y = -4y + -8y Combine like terms: 25y + -40y = -15y -15 + -15y = -4y + -8y Combine like terms: -4y + -8y = -12y -15 + -15y = -12y Solving -15 + -15y = -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -15 + -15y + 12y = -12y + 12y Combine like terms: -15y + 12y = -3y -15 + -3y = -12y + 12y Combine like terms: -12y + 12y = 0 -15 + -3y = 0 Add '15' to each side of the equation. -15 + 15 + -3y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3y = 0 + 15 -3y = 0 + 15 Combine like terms: 0 + 15 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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