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Simplifying -7(y + 1) = 4 + -6y Reorder the terms: -7(1 + y) = 4 + -6y (1 * -7 + y * -7) = 4 + -6y (-7 + -7y) = 4 + -6y Solving -7 + -7y = 4 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -7 + -7y + 6y = 4 + -6y + 6y Combine like terms: -7y + 6y = -1y -7 + -1y = 4 + -6y + 6y Combine like terms: -6y + 6y = 0 -7 + -1y = 4 + 0 -7 + -1y = 4 Add '7' to each side of the equation. -7 + 7 + -1y = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 4 + 7 -1y = 4 + 7 Combine like terms: 4 + 7 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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