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Simplifying 1 + 3(7y + -2) = 5y + -1(-17y) Reorder the terms: 1 + 3(-2 + 7y) = 5y + -1(-17y) 1 + (-2 * 3 + 7y * 3) = 5y + -1(-17y) 1 + (-6 + 21y) = 5y + -1(-17y) Combine like terms: 1 + -6 = -5 -5 + 21y = 5y + -1(-17y) Remove parenthesis around (-17y) -5 + 21y = 5y + -1 * -17y Multiply -1 * -17 -5 + 21y = 5y + 17y Combine like terms: 5y + 17y = 22y -5 + 21y = 22y Solving -5 + 21y = 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -5 + 21y + -22y = 22y + -22y Combine like terms: 21y + -22y = -1y -5 + -1y = 22y + -22y Combine like terms: 22y + -22y = 0 -5 + -1y = 0 Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5
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