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Simplifying 7(y + -2) + -6 = -1(y + -1) + -4y + -29 Reorder the terms: 7(-2 + y) + -6 = -1(y + -1) + -4y + -29 (-2 * 7 + y * 7) + -6 = -1(y + -1) + -4y + -29 (-14 + 7y) + -6 = -1(y + -1) + -4y + -29 Reorder the terms: -14 + -6 + 7y = -1(y + -1) + -4y + -29 Combine like terms: -14 + -6 = -20 -20 + 7y = -1(y + -1) + -4y + -29 Reorder the terms: -20 + 7y = -1(-1 + y) + -4y + -29 -20 + 7y = (-1 * -1 + y * -1) + -4y + -29 -20 + 7y = (1 + -1y) + -4y + -29 Reorder the terms: -20 + 7y = 1 + -29 + -1y + -4y Combine like terms: 1 + -29 = -28 -20 + 7y = -28 + -1y + -4y Combine like terms: -1y + -4y = -5y -20 + 7y = -28 + -5y Solving -20 + 7y = -28 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -20 + 7y + 5y = -28 + -5y + 5y Combine like terms: 7y + 5y = 12y -20 + 12y = -28 + -5y + 5y Combine like terms: -5y + 5y = 0 -20 + 12y = -28 + 0 -20 + 12y = -28 Add '20' to each side of the equation. -20 + 20 + 12y = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 12y = -28 + 20 12y = -28 + 20 Combine like terms: -28 + 20 = -8 12y = -8 Divide each side by '12'. y = -0.6666666667 Simplifying y = -0.6666666667
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