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Simplifying -28 = -5y + 7(y + -6) Reorder the terms: -28 = -5y + 7(-6 + y) -28 = -5y + (-6 * 7 + y * 7) -28 = -5y + (-42 + 7y) Reorder the terms: -28 = -42 + -5y + 7y Combine like terms: -5y + 7y = 2y -28 = -42 + 2y Solving -28 = -42 + 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. -28 + -2y = -42 + 2y + -2y Combine like terms: 2y + -2y = 0 -28 + -2y = -42 + 0 -28 + -2y = -42 Add '28' to each side of the equation. -28 + 28 + -2y = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -2y = -42 + 28 -2y = -42 + 28 Combine like terms: -42 + 28 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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