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Simplifying -4(-4 + -6y) + 7(-1y + 5) = -8 (-4 * -4 + -6y * -4) + 7(-1y + 5) = -8 (16 + 24y) + 7(-1y + 5) = -8 Reorder the terms: 16 + 24y + 7(5 + -1y) = -8 16 + 24y + (5 * 7 + -1y * 7) = -8 16 + 24y + (35 + -7y) = -8 Reorder the terms: 16 + 35 + 24y + -7y = -8 Combine like terms: 16 + 35 = 51 51 + 24y + -7y = -8 Combine like terms: 24y + -7y = 17y 51 + 17y = -8 Solving 51 + 17y = -8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 17y = -8 + -51 Combine like terms: 51 + -51 = 0 0 + 17y = -8 + -51 17y = -8 + -51 Combine like terms: -8 + -51 = -59 17y = -59 Divide each side by '17'. y = -3.470588235 Simplifying y = -3.470588235
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