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Simplifying -7(y + -8) + -5(4y + -7) = 3y + 1 Reorder the terms: -7(-8 + y) + -5(4y + -7) = 3y + 1 (-8 * -7 + y * -7) + -5(4y + -7) = 3y + 1 (56 + -7y) + -5(4y + -7) = 3y + 1 Reorder the terms: 56 + -7y + -5(-7 + 4y) = 3y + 1 56 + -7y + (-7 * -5 + 4y * -5) = 3y + 1 56 + -7y + (35 + -20y) = 3y + 1 Reorder the terms: 56 + 35 + -7y + -20y = 3y + 1 Combine like terms: 56 + 35 = 91 91 + -7y + -20y = 3y + 1 Combine like terms: -7y + -20y = -27y 91 + -27y = 3y + 1 Reorder the terms: 91 + -27y = 1 + 3y Solving 91 + -27y = 1 + 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. 91 + -27y + -3y = 1 + 3y + -3y Combine like terms: -27y + -3y = -30y 91 + -30y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 91 + -30y = 1 + 0 91 + -30y = 1 Add '-91' to each side of the equation. 91 + -91 + -30y = 1 + -91 Combine like terms: 91 + -91 = 0 0 + -30y = 1 + -91 -30y = 1 + -91 Combine like terms: 1 + -91 = -90 -30y = -90 Divide each side by '-30'. y = 3 Simplifying y = 3
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