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Simplifying 17 + -1(2y + -2) + -2(y + -1) + -3y = 0 Reorder the terms: 17 + -1(-2 + 2y) + -2(y + -1) + -3y = 0 17 + (-2 * -1 + 2y * -1) + -2(y + -1) + -3y = 0 17 + (2 + -2y) + -2(y + -1) + -3y = 0 Reorder the terms: 17 + 2 + -2y + -2(-1 + y) + -3y = 0 17 + 2 + -2y + (-1 * -2 + y * -2) + -3y = 0 17 + 2 + -2y + (2 + -2y) + -3y = 0 Reorder the terms: 17 + 2 + 2 + -2y + -2y + -3y = 0 Combine like terms: 17 + 2 = 19 19 + 2 + -2y + -2y + -3y = 0 Combine like terms: 19 + 2 = 21 21 + -2y + -2y + -3y = 0 Combine like terms: -2y + -2y = -4y 21 + -4y + -3y = 0 Combine like terms: -4y + -3y = -7y 21 + -7y = 0 Solving 21 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7y = 0 + -21 -7y = 0 + -21 Combine like terms: 0 + -21 = -21 -7y = -21 Divide each side by '-7'. y = 3 Simplifying y = 3
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