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Simplifying 2(2y + -1) + 10 = 3y + 4 Reorder the terms: 2(-1 + 2y) + 10 = 3y + 4 (-1 * 2 + 2y * 2) + 10 = 3y + 4 (-2 + 4y) + 10 = 3y + 4 Reorder the terms: -2 + 10 + 4y = 3y + 4 Combine like terms: -2 + 10 = 8 8 + 4y = 3y + 4 Reorder the terms: 8 + 4y = 4 + 3y Solving 8 + 4y = 4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 4y + -3y = 4 + 3y + -3y Combine like terms: 4y + -3y = 1y 8 + 1y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 1y = 4 + 0 8 + 1y = 4 Add '-8' to each side of the equation. 8 + -8 + 1y = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 4 + -8 1y = 4 + -8 Combine like terms: 4 + -8 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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