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Simplifying 5(-3y + -1) + -1(6 + -5y) = 49 Reorder the terms: 5(-1 + -3y) + -1(6 + -5y) = 49 (-1 * 5 + -3y * 5) + -1(6 + -5y) = 49 (-5 + -15y) + -1(6 + -5y) = 49 -5 + -15y + (6 * -1 + -5y * -1) = 49 -5 + -15y + (-6 + 5y) = 49 Reorder the terms: -5 + -6 + -15y + 5y = 49 Combine like terms: -5 + -6 = -11 -11 + -15y + 5y = 49 Combine like terms: -15y + 5y = -10y -11 + -10y = 49 Solving -11 + -10y = 49 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -10y = 49 + 11 Combine like terms: -11 + 11 = 0 0 + -10y = 49 + 11 -10y = 49 + 11 Combine like terms: 49 + 11 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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