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Simplifying -6y + 1(3y + -9) = 5 + -7(-8 + -1y) Reorder the terms: -6y + 1(-9 + 3y) = 5 + -7(-8 + -1y) -6y + (-9 * 1 + 3y * 1) = 5 + -7(-8 + -1y) -6y + (-9 + 3y) = 5 + -7(-8 + -1y) Reorder the terms: -9 + -6y + 3y = 5 + -7(-8 + -1y) Combine like terms: -6y + 3y = -3y -9 + -3y = 5 + -7(-8 + -1y) -9 + -3y = 5 + (-8 * -7 + -1y * -7) -9 + -3y = 5 + (56 + 7y) Combine like terms: 5 + 56 = 61 -9 + -3y = 61 + 7y Solving -9 + -3y = 61 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -9 + -3y + -7y = 61 + 7y + -7y Combine like terms: -3y + -7y = -10y -9 + -10y = 61 + 7y + -7y Combine like terms: 7y + -7y = 0 -9 + -10y = 61 + 0 -9 + -10y = 61 Add '9' to each side of the equation. -9 + 9 + -10y = 61 + 9 Combine like terms: -9 + 9 = 0 0 + -10y = 61 + 9 -10y = 61 + 9 Combine like terms: 61 + 9 = 70 -10y = 70 Divide each side by '-10'. y = -7 Simplifying y = -7
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