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Simplifying 3(y + 4) + -4 = y + -10 Reorder the terms: 3(4 + y) + -4 = y + -10 (4 * 3 + y * 3) + -4 = y + -10 (12 + 3y) + -4 = y + -10 Reorder the terms: 12 + -4 + 3y = y + -10 Combine like terms: 12 + -4 = 8 8 + 3y = y + -10 Reorder the terms: 8 + 3y = -10 + y Solving 8 + 3y = -10 + 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. 8 + 3y + -1y = -10 + y + -1y Combine like terms: 3y + -1y = 2y 8 + 2y = -10 + y + -1y Combine like terms: y + -1y = 0 8 + 2y = -10 + 0 8 + 2y = -10 Add '-8' to each side of the equation. 8 + -8 + 2y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -10 + -8 2y = -10 + -8 Combine like terms: -10 + -8 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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