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Simplifying 6(3x + -5) + 2(3x + -5) + -8(3x + -5) = y Reorder the terms: 6(-5 + 3x) + 2(3x + -5) + -8(3x + -5) = y (-5 * 6 + 3x * 6) + 2(3x + -5) + -8(3x + -5) = y (-30 + 18x) + 2(3x + -5) + -8(3x + -5) = y Reorder the terms: -30 + 18x + 2(-5 + 3x) + -8(3x + -5) = y -30 + 18x + (-5 * 2 + 3x * 2) + -8(3x + -5) = y -30 + 18x + (-10 + 6x) + -8(3x + -5) = y Reorder the terms: -30 + 18x + -10 + 6x + -8(-5 + 3x) = y -30 + 18x + -10 + 6x + (-5 * -8 + 3x * -8) = y -30 + 18x + -10 + 6x + (40 + -24x) = y Reorder the terms: -30 + -10 + 40 + 18x + 6x + -24x = y Combine like terms: -30 + -10 = -40 -40 + 40 + 18x + 6x + -24x = y Combine like terms: -40 + 40 = 0 0 + 18x + 6x + -24x = y 18x + 6x + -24x = y Combine like terms: 18x + 6x = 24x 24x + -24x = y Combine like terms: 24x + -24x = 0 0 = y Solving 0 = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 0 + -1y = y + -1y Remove the zero: -1y = y + -1y Combine like terms: y + -1y = 0 -1y = 0 Divide each side by '-1'. y = 0 Simplifying y = 0
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