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Simplifying 3(y + -5) + 3 = 9x + 6(2 + -1x) Reorder the terms: 3(-5 + y) + 3 = 9x + 6(2 + -1x) (-5 * 3 + y * 3) + 3 = 9x + 6(2 + -1x) (-15 + 3y) + 3 = 9x + 6(2 + -1x) Reorder the terms: -15 + 3 + 3y = 9x + 6(2 + -1x) Combine like terms: -15 + 3 = -12 -12 + 3y = 9x + 6(2 + -1x) -12 + 3y = 9x + (2 * 6 + -1x * 6) -12 + 3y = 9x + (12 + -6x) Reorder the terms: -12 + 3y = 12 + 9x + -6x Combine like terms: 9x + -6x = 3x -12 + 3y = 12 + 3x Solving -12 + 3y = 12 + 3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3y = 12 + 12 + 3x Combine like terms: -12 + 12 = 0 0 + 3y = 12 + 12 + 3x 3y = 12 + 12 + 3x Combine like terms: 12 + 12 = 24 3y = 24 + 3x Divide each side by '3'. y = 8 + x Simplifying y = 8 + x
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