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Simplifying 6y + 27 = 3(y + -42) Reorder the terms: 27 + 6y = 3(y + -42) Reorder the terms: 27 + 6y = 3(-42 + y) 27 + 6y = (-42 * 3 + y * 3) 27 + 6y = (-126 + 3y) Solving 27 + 6y = -126 + 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. 27 + 6y + -3y = -126 + 3y + -3y Combine like terms: 6y + -3y = 3y 27 + 3y = -126 + 3y + -3y Combine like terms: 3y + -3y = 0 27 + 3y = -126 + 0 27 + 3y = -126 Add '-27' to each side of the equation. 27 + -27 + 3y = -126 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = -126 + -27 3y = -126 + -27 Combine like terms: -126 + -27 = -153 3y = -153 Divide each side by '3'. y = -51 Simplifying y = -51
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