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Simplifying 5 + -3y = 6(3x + 4) + -8(x + 2) Reorder the terms: 5 + -3y = 6(4 + 3x) + -8(x + 2) 5 + -3y = (4 * 6 + 3x * 6) + -8(x + 2) 5 + -3y = (24 + 18x) + -8(x + 2) Reorder the terms: 5 + -3y = 24 + 18x + -8(2 + x) 5 + -3y = 24 + 18x + (2 * -8 + x * -8) 5 + -3y = 24 + 18x + (-16 + -8x) Reorder the terms: 5 + -3y = 24 + -16 + 18x + -8x Combine like terms: 24 + -16 = 8 5 + -3y = 8 + 18x + -8x Combine like terms: 18x + -8x = 10x 5 + -3y = 8 + 10x Solving 5 + -3y = 8 + 10x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 8 + -5 + 10x Combine like terms: 5 + -5 = 0 0 + -3y = 8 + -5 + 10x -3y = 8 + -5 + 10x Combine like terms: 8 + -5 = 3 -3y = 3 + 10x Divide each side by '-3'. y = -1 + -3.333333333x Simplifying y = -1 + -3.333333333x
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