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Simplifying -5 + -1(y + 6) = 2(-1y + 3) + -7(y + 1) Reorder the terms: -5 + -1(6 + y) = 2(-1y + 3) + -7(y + 1) -5 + (6 * -1 + y * -1) = 2(-1y + 3) + -7(y + 1) -5 + (-6 + -1y) = 2(-1y + 3) + -7(y + 1) Combine like terms: -5 + -6 = -11 -11 + -1y = 2(-1y + 3) + -7(y + 1) Reorder the terms: -11 + -1y = 2(3 + -1y) + -7(y + 1) -11 + -1y = (3 * 2 + -1y * 2) + -7(y + 1) -11 + -1y = (6 + -2y) + -7(y + 1) Reorder the terms: -11 + -1y = 6 + -2y + -7(1 + y) -11 + -1y = 6 + -2y + (1 * -7 + y * -7) -11 + -1y = 6 + -2y + (-7 + -7y) Reorder the terms: -11 + -1y = 6 + -7 + -2y + -7y Combine like terms: 6 + -7 = -1 -11 + -1y = -1 + -2y + -7y Combine like terms: -2y + -7y = -9y -11 + -1y = -1 + -9y Solving -11 + -1y = -1 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -11 + -1y + 9y = -1 + -9y + 9y Combine like terms: -1y + 9y = 8y -11 + 8y = -1 + -9y + 9y Combine like terms: -9y + 9y = 0 -11 + 8y = -1 + 0 -11 + 8y = -1 Add '11' to each side of the equation. -11 + 11 + 8y = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 8y = -1 + 11 8y = -1 + 11 Combine like terms: -1 + 11 = 10 8y = 10 Divide each side by '8'. y = 1.25 Simplifying y = 1.25
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