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Simplifying 3y + 2 = 4y + -6 Reorder the terms: 2 + 3y = 4y + -6 Reorder the terms: 2 + 3y = -6 + 4y Solving 2 + 3y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + 3y + -4y = -6 + 4y + -4y Combine like terms: 3y + -4y = -1y 2 + -1y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -1y = -6 + 0 2 + -1y = -6 Add '-2' to each side of the equation. 2 + -2 + -1y = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = -6 + -2 -1y = -6 + -2 Combine like terms: -6 + -2 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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