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Simplifying 7y + 28 = -7(y + -6) Reorder the terms: 28 + 7y = -7(y + -6) Reorder the terms: 28 + 7y = -7(-6 + y) 28 + 7y = (-6 * -7 + y * -7) 28 + 7y = (42 + -7y) Solving 28 + 7y = 42 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 28 + 7y + 7y = 42 + -7y + 7y Combine like terms: 7y + 7y = 14y 28 + 14y = 42 + -7y + 7y Combine like terms: -7y + 7y = 0 28 + 14y = 42 + 0 28 + 14y = 42 Add '-28' to each side of the equation. 28 + -28 + 14y = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 14y = 42 + -28 14y = 42 + -28 Combine like terms: 42 + -28 = 14 14y = 14 Divide each side by '14'. y = 1 Simplifying y = 1
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