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Simplifying -2y + -7(-1y + -4) = 5 + 3(-6 + -1y) Reorder the terms: -2y + -7(-4 + -1y) = 5 + 3(-6 + -1y) -2y + (-4 * -7 + -1y * -7) = 5 + 3(-6 + -1y) -2y + (28 + 7y) = 5 + 3(-6 + -1y) Reorder the terms: 28 + -2y + 7y = 5 + 3(-6 + -1y) Combine like terms: -2y + 7y = 5y 28 + 5y = 5 + 3(-6 + -1y) 28 + 5y = 5 + (-6 * 3 + -1y * 3) 28 + 5y = 5 + (-18 + -3y) Combine like terms: 5 + -18 = -13 28 + 5y = -13 + -3y Solving 28 + 5y = -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. 28 + 5y + 3y = -13 + -3y + 3y Combine like terms: 5y + 3y = 8y 28 + 8y = -13 + -3y + 3y Combine like terms: -3y + 3y = 0 28 + 8y = -13 + 0 28 + 8y = -13 Add '-28' to each side of the equation. 28 + -28 + 8y = -13 + -28 Combine like terms: 28 + -28 = 0 0 + 8y = -13 + -28 8y = -13 + -28 Combine like terms: -13 + -28 = -41 8y = -41 Divide each side by '8'. y = -5.125 Simplifying y = -5.125
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