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Simplifying -2y + -4(-1y + -7) = -7 + 6(-4 + -1y) Reorder the terms: -2y + -4(-7 + -1y) = -7 + 6(-4 + -1y) -2y + (-7 * -4 + -1y * -4) = -7 + 6(-4 + -1y) -2y + (28 + 4y) = -7 + 6(-4 + -1y) Reorder the terms: 28 + -2y + 4y = -7 + 6(-4 + -1y) Combine like terms: -2y + 4y = 2y 28 + 2y = -7 + 6(-4 + -1y) 28 + 2y = -7 + (-4 * 6 + -1y * 6) 28 + 2y = -7 + (-24 + -6y) Combine like terms: -7 + -24 = -31 28 + 2y = -31 + -6y Solving 28 + 2y = -31 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 28 + 2y + 6y = -31 + -6y + 6y Combine like terms: 2y + 6y = 8y 28 + 8y = -31 + -6y + 6y Combine like terms: -6y + 6y = 0 28 + 8y = -31 + 0 28 + 8y = -31 Add '-28' to each side of the equation. 28 + -28 + 8y = -31 + -28 Combine like terms: 28 + -28 = 0 0 + 8y = -31 + -28 8y = -31 + -28 Combine like terms: -31 + -28 = -59 8y = -59 Divide each side by '8'. y = -7.375 Simplifying y = -7.375
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