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Simplifying 5y + -1(3y + -2) + 6 = (y + 4) Reorder the terms: 5y + -1(-2 + 3y) + 6 = (y + 4) 5y + (-2 * -1 + 3y * -1) + 6 = (y + 4) 5y + (2 + -3y) + 6 = (y + 4) Reorder the terms: 2 + 6 + 5y + -3y = (y + 4) Combine like terms: 2 + 6 = 8 8 + 5y + -3y = (y + 4) Combine like terms: 5y + -3y = 2y 8 + 2y = (y + 4) Reorder the terms: 8 + 2y = (4 + y) Remove parenthesis around (4 + y) 8 + 2y = 4 + y Solving 8 + 2y = 4 + 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 + 2y + -1y = 4 + y + -1y Combine like terms: 2y + -1y = 1y 8 + 1y = 4 + y + -1y Combine like terms: y + -1y = 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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