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Simplifying -7 + -1(6y + 6) = -1(3y + 8) + 3 Reorder the terms: -7 + -1(6 + 6y) = -1(3y + 8) + 3 -7 + (6 * -1 + 6y * -1) = -1(3y + 8) + 3 -7 + (-6 + -6y) = -1(3y + 8) + 3 Combine like terms: -7 + -6 = -13 -13 + -6y = -1(3y + 8) + 3 Reorder the terms: -13 + -6y = -1(8 + 3y) + 3 -13 + -6y = (8 * -1 + 3y * -1) + 3 -13 + -6y = (-8 + -3y) + 3 Reorder the terms: -13 + -6y = -8 + 3 + -3y Combine like terms: -8 + 3 = -5 -13 + -6y = -5 + -3y Solving -13 + -6y = -5 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -13 + -6y + 3y = -5 + -3y + 3y Combine like terms: -6y + 3y = -3y -13 + -3y = -5 + -3y + 3y Combine like terms: -3y + 3y = 0 -13 + -3y = -5 + 0 -13 + -3y = -5 Add '13' to each side of the equation. -13 + 13 + -3y = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -3y = -5 + 13 -3y = -5 + 13 Combine like terms: -5 + 13 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667
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