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Simplifying -7(y + 3) + -1(-6y + -4) = -6 Reorder the terms: -7(3 + y) + -1(-6y + -4) = -6 (3 * -7 + y * -7) + -1(-6y + -4) = -6 (-21 + -7y) + -1(-6y + -4) = -6 Reorder the terms: -21 + -7y + -1(-4 + -6y) = -6 -21 + -7y + (-4 * -1 + -6y * -1) = -6 -21 + -7y + (4 + 6y) = -6 Reorder the terms: -21 + 4 + -7y + 6y = -6 Combine like terms: -21 + 4 = -17 -17 + -7y + 6y = -6 Combine like terms: -7y + 6y = -1y -17 + -1y = -6 Solving -17 + -1y = -6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1y = -6 + 17 Combine like terms: -17 + 17 = 0 0 + -1y = -6 + 17 -1y = -6 + 17 Combine like terms: -6 + 17 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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