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Simplifying -2y + -42 = -4(y + 7) Reorder the terms: -42 + -2y = -4(y + 7) Reorder the terms: -42 + -2y = -4(7 + y) -42 + -2y = (7 * -4 + y * -4) -42 + -2y = (-28 + -4y) Solving -42 + -2y = -28 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -42 + -2y + 4y = -28 + -4y + 4y Combine like terms: -2y + 4y = 2y -42 + 2y = -28 + -4y + 4y Combine like terms: -4y + 4y = 0 -42 + 2y = -28 + 0 -42 + 2y = -28 Add '42' to each side of the equation. -42 + 42 + 2y = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 2y = -28 + 42 2y = -28 + 42 Combine like terms: -28 + 42 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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