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Simplifying 2y + 6 + 8y + -102 = 3x + 2y + 6 Reorder the terms: 6 + -102 + 2y + 8y = 3x + 2y + 6 Combine like terms: 6 + -102 = -96 -96 + 2y + 8y = 3x + 2y + 6 Combine like terms: 2y + 8y = 10y -96 + 10y = 3x + 2y + 6 Reorder the terms: -96 + 10y = 6 + 3x + 2y Solving -96 + 10y = 6 + 3x + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -96 + 10y + -2y = 6 + 3x + 2y + -2y Combine like terms: 10y + -2y = 8y -96 + 8y = 6 + 3x + 2y + -2y Combine like terms: 2y + -2y = 0 -96 + 8y = 6 + 3x + 0 -96 + 8y = 6 + 3x Add '96' to each side of the equation. -96 + 96 + 8y = 6 + 96 + 3x Combine like terms: -96 + 96 = 0 0 + 8y = 6 + 96 + 3x 8y = 6 + 96 + 3x Combine like terms: 6 + 96 = 102 8y = 102 + 3x Divide each side by '8'. y = 12.75 + 0.375x Simplifying y = 12.75 + 0.375x
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