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Simplifying -4(y + 7) = y + 7 Reorder the terms: -4(7 + y) = y + 7 (7 * -4 + y * -4) = y + 7 (-28 + -4y) = y + 7 Reorder the terms: -28 + -4y = 7 + y Solving -28 + -4y = 7 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -28 + -4y + -1y = 7 + y + -1y Combine like terms: -4y + -1y = -5y -28 + -5y = 7 + y + -1y Combine like terms: y + -1y = 0 -28 + -5y = 7 + 0 -28 + -5y = 7 Add '28' to each side of the equation. -28 + 28 + -5y = 7 + 28 Combine like terms: -28 + 28 = 0 0 + -5y = 7 + 28 -5y = 7 + 28 Combine like terms: 7 + 28 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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