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Simplifying (-1y + -7) + -1(-3y + 5) = 0 Reorder the terms: (-7 + -1y) + -1(-3y + 5) = 0 Remove parenthesis around (-7 + -1y) -7 + -1y + -1(-3y + 5) = 0 Reorder the terms: -7 + -1y + -1(5 + -3y) = 0 -7 + -1y + (5 * -1 + -3y * -1) = 0 -7 + -1y + (-5 + 3y) = 0 Reorder the terms: -7 + -5 + -1y + 3y = 0 Combine like terms: -7 + -5 = -12 -12 + -1y + 3y = 0 Combine like terms: -1y + 3y = 2y -12 + 2y = 0 Solving -12 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 0 + 12 2y = 0 + 12 Combine like terms: 0 + 12 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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