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Simplifying 8y + -1(6y + 8) = 8 + -1(6y + -3) Reorder the terms: 8y + -1(8 + 6y) = 8 + -1(6y + -3) 8y + (8 * -1 + 6y * -1) = 8 + -1(6y + -3) 8y + (-8 + -6y) = 8 + -1(6y + -3) Reorder the terms: -8 + 8y + -6y = 8 + -1(6y + -3) Combine like terms: 8y + -6y = 2y -8 + 2y = 8 + -1(6y + -3) Reorder the terms: -8 + 2y = 8 + -1(-3 + 6y) -8 + 2y = 8 + (-3 * -1 + 6y * -1) -8 + 2y = 8 + (3 + -6y) Combine like terms: 8 + 3 = 11 -8 + 2y = 11 + -6y Solving -8 + 2y = 11 + -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. -8 + 2y + 6y = 11 + -6y + 6y Combine like terms: 2y + 6y = 8y -8 + 8y = 11 + -6y + 6y Combine like terms: -6y + 6y = 0 -8 + 8y = 11 + 0 -8 + 8y = 11 Add '8' to each side of the equation. -8 + 8 + 8y = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = 11 + 8 8y = 11 + 8 Combine like terms: 11 + 8 = 19 8y = 19 Divide each side by '8'. y = 2.375 Simplifying y = 2.375
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