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Simplifying 8(y + -1) + -3y = (2y + -6) Reorder the terms: 8(-1 + y) + -3y = (2y + -6) (-1 * 8 + y * 8) + -3y = (2y + -6) (-8 + 8y) + -3y = (2y + -6) Combine like terms: 8y + -3y = 5y -8 + 5y = (2y + -6) Reorder the terms: -8 + 5y = (-6 + 2y) Remove parenthesis around (-6 + 2y) -8 + 5y = -6 + 2y Solving -8 + 5y = -6 + 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. -8 + 5y + -2y = -6 + 2y + -2y Combine like terms: 5y + -2y = 3y -8 + 3y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + 3y = -6 + 0 -8 + 3y = -6 Add '8' to each side of the equation. -8 + 8 + 3y = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = -6 + 8 3y = -6 + 8 Combine like terms: -6 + 8 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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