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Simplifying 17y + 42 = 10y + 7 Reorder the terms: 42 + 17y = 10y + 7 Reorder the terms: 42 + 17y = 7 + 10y Solving 42 + 17y = 7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 42 + 17y + -10y = 7 + 10y + -10y Combine like terms: 17y + -10y = 7y 42 + 7y = 7 + 10y + -10y Combine like terms: 10y + -10y = 0 42 + 7y = 7 + 0 42 + 7y = 7 Add '-42' to each side of the equation. 42 + -42 + 7y = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 7y = 7 + -42 7y = 7 + -42 Combine like terms: 7 + -42 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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