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Simplifying -3y + -7(-8y + 1) = -6 + -8(7 + -1y) Reorder the terms: -3y + -7(1 + -8y) = -6 + -8(7 + -1y) -3y + (1 * -7 + -8y * -7) = -6 + -8(7 + -1y) -3y + (-7 + 56y) = -6 + -8(7 + -1y) Reorder the terms: -7 + -3y + 56y = -6 + -8(7 + -1y) Combine like terms: -3y + 56y = 53y -7 + 53y = -6 + -8(7 + -1y) -7 + 53y = -6 + (7 * -8 + -1y * -8) -7 + 53y = -6 + (-56 + 8y) Combine like terms: -6 + -56 = -62 -7 + 53y = -62 + 8y Solving -7 + 53y = -62 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -7 + 53y + -8y = -62 + 8y + -8y Combine like terms: 53y + -8y = 45y -7 + 45y = -62 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + 45y = -62 + 0 -7 + 45y = -62 Add '7' to each side of the equation. -7 + 7 + 45y = -62 + 7 Combine like terms: -7 + 7 = 0 0 + 45y = -62 + 7 45y = -62 + 7 Combine like terms: -62 + 7 = -55 45y = -55 Divide each side by '45'. y = -1.222222222 Simplifying y = -1.222222222
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