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Simplifying -7(y + 1) = -3(3y + -3) + 8y Reorder the terms: -7(1 + y) = -3(3y + -3) + 8y (1 * -7 + y * -7) = -3(3y + -3) + 8y (-7 + -7y) = -3(3y + -3) + 8y Reorder the terms: -7 + -7y = -3(-3 + 3y) + 8y -7 + -7y = (-3 * -3 + 3y * -3) + 8y -7 + -7y = (9 + -9y) + 8y Combine like terms: -9y + 8y = -1y -7 + -7y = 9 + -1y Solving -7 + -7y = 9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -7 + -7y + y = 9 + -1y + y Combine like terms: -7y + y = -6y -7 + -6y = 9 + -1y + y Combine like terms: -1y + y = 0 -7 + -6y = 9 + 0 -7 + -6y = 9 Add '7' to each side of the equation. -7 + 7 + -6y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 9 + 7 -6y = 9 + 7 Combine like terms: 9 + 7 = 16 -6y = 16 Divide each side by '-6'. y = -2.666666667 Simplifying y = -2.666666667
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