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Simplifying 2(y + -6) = 3y + -2(8 + -1y) Reorder the terms: 2(-6 + y) = 3y + -2(8 + -1y) (-6 * 2 + y * 2) = 3y + -2(8 + -1y) (-12 + 2y) = 3y + -2(8 + -1y) -12 + 2y = 3y + (8 * -2 + -1y * -2) -12 + 2y = 3y + (-16 + 2y) Reorder the terms: -12 + 2y = -16 + 3y + 2y Combine like terms: 3y + 2y = 5y -12 + 2y = -16 + 5y Solving -12 + 2y = -16 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 2y + -5y = -16 + 5y + -5y Combine like terms: 2y + -5y = -3y -12 + -3y = -16 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -3y = -16 + 0 -12 + -3y = -16 Add '12' to each side of the equation. -12 + 12 + -3y = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = -16 + 12 -3y = -16 + 12 Combine like terms: -16 + 12 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333
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