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Simplifying 10y + -1(4 + -1y) = 2[-3 + -1(2 + y) + -12] 10y + (4 * -1 + -1y * -1) = 2[-3 + -1(2 + y) + -12] 10y + (-4 + 1y) = 2[-3 + -1(2 + y) + -12] Reorder the terms: -4 + 10y + 1y = 2[-3 + -1(2 + y) + -12] Combine like terms: 10y + 1y = 11y -4 + 11y = 2[-3 + -1(2 + y) + -12] -4 + 11y = 2[-3 + (2 * -1 + y * -1) + -12] -4 + 11y = 2[-3 + (-2 + -1y) + -12] Reorder the terms: -4 + 11y = 2[-3 + -2 + -12 + -1y] Combine like terms: -3 + -2 = -5 -4 + 11y = 2[-5 + -12 + -1y] Combine like terms: -5 + -12 = -17 -4 + 11y = 2[-17 + -1y] -4 + 11y = [-17 * 2 + -1y * 2] -4 + 11y = [-34 + -2y] Solving -4 + 11y = -34 + -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. -4 + 11y + 2y = -34 + -2y + 2y Combine like terms: 11y + 2y = 13y -4 + 13y = -34 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 13y = -34 + 0 -4 + 13y = -34 Add '4' to each side of the equation. -4 + 4 + 13y = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 13y = -34 + 4 13y = -34 + 4 Combine like terms: -34 + 4 = -30 13y = -30 Divide each side by '13'. y = -2.307692308 Simplifying y = -2.307692308
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