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Simplifying -6 + -1(8y + 7) = 3(-2y + 8) + 1 Reorder the terms: -6 + -1(7 + 8y) = 3(-2y + 8) + 1 -6 + (7 * -1 + 8y * -1) = 3(-2y + 8) + 1 -6 + (-7 + -8y) = 3(-2y + 8) + 1 Combine like terms: -6 + -7 = -13 -13 + -8y = 3(-2y + 8) + 1 Reorder the terms: -13 + -8y = 3(8 + -2y) + 1 -13 + -8y = (8 * 3 + -2y * 3) + 1 -13 + -8y = (24 + -6y) + 1 Reorder the terms: -13 + -8y = 24 + 1 + -6y Combine like terms: 24 + 1 = 25 -13 + -8y = 25 + -6y Solving -13 + -8y = 25 + -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. -13 + -8y + 6y = 25 + -6y + 6y Combine like terms: -8y + 6y = -2y -13 + -2y = 25 + -6y + 6y Combine like terms: -6y + 6y = 0 -13 + -2y = 25 + 0 -13 + -2y = 25 Add '13' to each side of the equation. -13 + 13 + -2y = 25 + 13 Combine like terms: -13 + 13 = 0 0 + -2y = 25 + 13 -2y = 25 + 13 Combine like terms: 25 + 13 = 38 -2y = 38 Divide each side by '-2'. y = -19 Simplifying y = -19
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