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Simplifying 2(y + -8) = 7(6 + -1y) + -3 Reorder the terms: 2(-8 + y) = 7(6 + -1y) + -3 (-8 * 2 + y * 2) = 7(6 + -1y) + -3 (-16 + 2y) = 7(6 + -1y) + -3 -16 + 2y = (6 * 7 + -1y * 7) + -3 -16 + 2y = (42 + -7y) + -3 Reorder the terms: -16 + 2y = 42 + -3 + -7y Combine like terms: 42 + -3 = 39 -16 + 2y = 39 + -7y Solving -16 + 2y = 39 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -16 + 2y + 7y = 39 + -7y + 7y Combine like terms: 2y + 7y = 9y -16 + 9y = 39 + -7y + 7y Combine like terms: -7y + 7y = 0 -16 + 9y = 39 + 0 -16 + 9y = 39 Add '16' to each side of the equation. -16 + 16 + 9y = 39 + 16 Combine like terms: -16 + 16 = 0 0 + 9y = 39 + 16 9y = 39 + 16 Combine like terms: 39 + 16 = 55 9y = 55 Divide each side by '9'. y = 6.111111111 Simplifying y = 6.111111111
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