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Simplifying 2y + -3(5y + -1) = 3 + -4(1 + -1y) Reorder the terms: 2y + -3(-1 + 5y) = 3 + -4(1 + -1y) 2y + (-1 * -3 + 5y * -3) = 3 + -4(1 + -1y) 2y + (3 + -15y) = 3 + -4(1 + -1y) Reorder the terms: 3 + 2y + -15y = 3 + -4(1 + -1y) Combine like terms: 2y + -15y = -13y 3 + -13y = 3 + -4(1 + -1y) 3 + -13y = 3 + (1 * -4 + -1y * -4) 3 + -13y = 3 + (-4 + 4y) Combine like terms: 3 + -4 = -1 3 + -13y = -1 + 4y Solving 3 + -13y = -1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + -13y + -4y = -1 + 4y + -4y Combine like terms: -13y + -4y = -17y 3 + -17y = -1 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -17y = -1 + 0 3 + -17y = -1 Add '-3' to each side of the equation. 3 + -3 + -17y = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -17y = -1 + -3 -17y = -1 + -3 Combine like terms: -1 + -3 = -4 -17y = -4 Divide each side by '-17'. y = 0.2352941176 Simplifying y = 0.2352941176
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