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Simplifying -4y + -42 = 2(y + 6) Reorder the terms: -42 + -4y = 2(y + 6) Reorder the terms: -42 + -4y = 2(6 + y) -42 + -4y = (6 * 2 + y * 2) -42 + -4y = (12 + 2y) Solving -42 + -4y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -42 + -4y + -2y = 12 + 2y + -2y Combine like terms: -4y + -2y = -6y -42 + -6y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -42 + -6y = 12 + 0 -42 + -6y = 12 Add '42' to each side of the equation. -42 + 42 + -6y = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -6y = 12 + 42 -6y = 12 + 42 Combine like terms: 12 + 42 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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