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Simplifying -7(y + 4) = -5 + -2y + -3 Reorder the terms: -7(4 + y) = -5 + -2y + -3 (4 * -7 + y * -7) = -5 + -2y + -3 (-28 + -7y) = -5 + -2y + -3 Reorder the terms: -28 + -7y = -5 + -3 + -2y Combine like terms: -5 + -3 = -8 -28 + -7y = -8 + -2y Solving -28 + -7y = -8 + -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 + -7y + 2y = -8 + -2y + 2y Combine like terms: -7y + 2y = -5y -28 + -5y = -8 + -2y + 2y Combine like terms: -2y + 2y = 0 -28 + -5y = -8 + 0 -28 + -5y = -8 Add '28' to each side of the equation. -28 + 28 + -5y = -8 + 28 Combine like terms: -28 + 28 = 0 0 + -5y = -8 + 28 -5y = -8 + 28 Combine like terms: -8 + 28 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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