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Simplifying 3(y + -1) = 2(2y + -6) + -5(1 + -1y) Reorder the terms: 3(-1 + y) = 2(2y + -6) + -5(1 + -1y) (-1 * 3 + y * 3) = 2(2y + -6) + -5(1 + -1y) (-3 + 3y) = 2(2y + -6) + -5(1 + -1y) Reorder the terms: -3 + 3y = 2(-6 + 2y) + -5(1 + -1y) -3 + 3y = (-6 * 2 + 2y * 2) + -5(1 + -1y) -3 + 3y = (-12 + 4y) + -5(1 + -1y) -3 + 3y = -12 + 4y + (1 * -5 + -1y * -5) -3 + 3y = -12 + 4y + (-5 + 5y) Reorder the terms: -3 + 3y = -12 + -5 + 4y + 5y Combine like terms: -12 + -5 = -17 -3 + 3y = -17 + 4y + 5y Combine like terms: 4y + 5y = 9y -3 + 3y = -17 + 9y Solving -3 + 3y = -17 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -3 + 3y + -9y = -17 + 9y + -9y Combine like terms: 3y + -9y = -6y -3 + -6y = -17 + 9y + -9y Combine like terms: 9y + -9y = 0 -3 + -6y = -17 + 0 -3 + -6y = -17 Add '3' to each side of the equation. -3 + 3 + -6y = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -6y = -17 + 3 -6y = -17 + 3 Combine like terms: -17 + 3 = -14 -6y = -14 Divide each side by '-6'. y = 2.333333333 Simplifying y = 2.333333333
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