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Simplifying 2(y + -7) + -1(3y + 11) = (2y + -5) Reorder the terms: 2(-7 + y) + -1(3y + 11) = (2y + -5) (-7 * 2 + y * 2) + -1(3y + 11) = (2y + -5) (-14 + 2y) + -1(3y + 11) = (2y + -5) Reorder the terms: -14 + 2y + -1(11 + 3y) = (2y + -5) -14 + 2y + (11 * -1 + 3y * -1) = (2y + -5) -14 + 2y + (-11 + -3y) = (2y + -5) Reorder the terms: -14 + -11 + 2y + -3y = (2y + -5) Combine like terms: -14 + -11 = -25 -25 + 2y + -3y = (2y + -5) Combine like terms: 2y + -3y = -1y -25 + -1y = (2y + -5) Reorder the terms: -25 + -1y = (-5 + 2y) Remove parenthesis around (-5 + 2y) -25 + -1y = -5 + 2y Solving -25 + -1y = -5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -25 + -1y + -2y = -5 + 2y + -2y Combine like terms: -1y + -2y = -3y -25 + -3y = -5 + 2y + -2y Combine like terms: 2y + -2y = 0 -25 + -3y = -5 + 0 -25 + -3y = -5 Add '25' to each side of the equation. -25 + 25 + -3y = -5 + 25 Combine like terms: -25 + 25 = 0 0 + -3y = -5 + 25 -3y = -5 + 25 Combine like terms: -5 + 25 = 20 -3y = 20 Divide each side by '-3'. y = -6.666666667 Simplifying y = -6.666666667
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