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Simplifying 2y + -4(5y + 1) = 3y + 17 Reorder the terms: 2y + -4(1 + 5y) = 3y + 17 2y + (1 * -4 + 5y * -4) = 3y + 17 2y + (-4 + -20y) = 3y + 17 Reorder the terms: -4 + 2y + -20y = 3y + 17 Combine like terms: 2y + -20y = -18y -4 + -18y = 3y + 17 Reorder the terms: -4 + -18y = 17 + 3y Solving -4 + -18y = 17 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -4 + -18y + -3y = 17 + 3y + -3y Combine like terms: -18y + -3y = -21y -4 + -21y = 17 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + -21y = 17 + 0 -4 + -21y = 17 Add '4' to each side of the equation. -4 + 4 + -21y = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -21y = 17 + 4 -21y = 17 + 4 Combine like terms: 17 + 4 = 21 -21y = 21 Divide each side by '-21'. y = -1 Simplifying y = -1
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