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Simplifying 3y + -4(1 + -3y) = 2y + -1(y + 1) 3y + (1 * -4 + -3y * -4) = 2y + -1(y + 1) 3y + (-4 + 12y) = 2y + -1(y + 1) Reorder the terms: -4 + 3y + 12y = 2y + -1(y + 1) Combine like terms: 3y + 12y = 15y -4 + 15y = 2y + -1(y + 1) Reorder the terms: -4 + 15y = 2y + -1(1 + y) -4 + 15y = 2y + (1 * -1 + y * -1) -4 + 15y = 2y + (-1 + -1y) Reorder the terms: -4 + 15y = -1 + 2y + -1y Combine like terms: 2y + -1y = 1y -4 + 15y = -1 + 1y Solving -4 + 15y = -1 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4 + 15y + -1y = -1 + 1y + -1y Combine like terms: 15y + -1y = 14y -4 + 14y = -1 + 1y + -1y Combine like terms: 1y + -1y = 0 -4 + 14y = -1 + 0 -4 + 14y = -1 Add '4' to each side of the equation. -4 + 4 + 14y = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 14y = -1 + 4 14y = -1 + 4 Combine like terms: -1 + 4 = 3 14y = 3 Divide each side by '14'. y = 0.2142857143 Simplifying y = 0.2142857143
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