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Simplifying -2(y + -7) + -1(y + 3) = 3(y + -4) + -1 Reorder the terms: -2(-7 + y) + -1(y + 3) = 3(y + -4) + -1 (-7 * -2 + y * -2) + -1(y + 3) = 3(y + -4) + -1 (14 + -2y) + -1(y + 3) = 3(y + -4) + -1 Reorder the terms: 14 + -2y + -1(3 + y) = 3(y + -4) + -1 14 + -2y + (3 * -1 + y * -1) = 3(y + -4) + -1 14 + -2y + (-3 + -1y) = 3(y + -4) + -1 Reorder the terms: 14 + -3 + -2y + -1y = 3(y + -4) + -1 Combine like terms: 14 + -3 = 11 11 + -2y + -1y = 3(y + -4) + -1 Combine like terms: -2y + -1y = -3y 11 + -3y = 3(y + -4) + -1 Reorder the terms: 11 + -3y = 3(-4 + y) + -1 11 + -3y = (-4 * 3 + y * 3) + -1 11 + -3y = (-12 + 3y) + -1 Reorder the terms: 11 + -3y = -12 + -1 + 3y Combine like terms: -12 + -1 = -13 11 + -3y = -13 + 3y Solving 11 + -3y = -13 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 11 + -3y + -3y = -13 + 3y + -3y Combine like terms: -3y + -3y = -6y 11 + -6y = -13 + 3y + -3y Combine like terms: 3y + -3y = 0 11 + -6y = -13 + 0 11 + -6y = -13 Add '-11' to each side of the equation. 11 + -11 + -6y = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -6y = -13 + -11 -6y = -13 + -11 Combine like terms: -13 + -11 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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