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Simplifying 15y + -2(4y + -1) = 2(3y + -1) Reorder the terms: 15y + -2(-1 + 4y) = 2(3y + -1) 15y + (-1 * -2 + 4y * -2) = 2(3y + -1) 15y + (2 + -8y) = 2(3y + -1) Reorder the terms: 2 + 15y + -8y = 2(3y + -1) Combine like terms: 15y + -8y = 7y 2 + 7y = 2(3y + -1) Reorder the terms: 2 + 7y = 2(-1 + 3y) 2 + 7y = (-1 * 2 + 3y * 2) 2 + 7y = (-2 + 6y) Solving 2 + 7y = -2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + 7y + -6y = -2 + 6y + -6y Combine like terms: 7y + -6y = 1y 2 + 1y = -2 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + 1y = -2 + 0 2 + 1y = -2 Add '-2' to each side of the equation. 2 + -2 + 1y = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = -2 + -2 1y = -2 + -2 Combine like terms: -2 + -2 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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