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Simplifying -7(y + 2) = -5y + -12 Reorder the terms: -7(2 + y) = -5y + -12 (2 * -7 + y * -7) = -5y + -12 (-14 + -7y) = -5y + -12 Reorder the terms: -14 + -7y = -12 + -5y Solving -14 + -7y = -12 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -14 + -7y + 5y = -12 + -5y + 5y Combine like terms: -7y + 5y = -2y -14 + -2y = -12 + -5y + 5y Combine like terms: -5y + 5y = 0 -14 + -2y = -12 + 0 -14 + -2y = -12 Add '14' to each side of the equation. -14 + 14 + -2y = -12 + 14 Combine like terms: -14 + 14 = 0 0 + -2y = -12 + 14 -2y = -12 + 14 Combine like terms: -12 + 14 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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