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Simplifying (4y + -2y) + 3(y + -2) = 4y Combine like terms: 4y + -2y = 2y (2y) + 3(y + -2) = 4y (2y) + 3(y + -2) = 4y Reorder the terms: (2y) + 3(-2 + y) = 4y (2y) + (-2 * 3 + y * 3) = 4y (2y) + (-6 + 3y) = 4y Reorder the terms: -6 + (2y) + 3y = 4y Combine like terms: (2y) + 3y = 5y -6 + 5y = 4y Solving -6 + 5y = 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. -6 + 5y + -4y = 4y + -4y Combine like terms: 5y + -4y = 1y -6 + 1y = 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 1y = 0 Add '6' to each side of the equation. -6 + 6 + 1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 0 + 6 1y = 0 + 6 Combine like terms: 0 + 6 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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