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Simplifying 7y + -42 = 2y + -2 Reorder the terms: -42 + 7y = 2y + -2 Reorder the terms: -42 + 7y = -2 + 2y Solving -42 + 7y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -42 + 7y + -2y = -2 + 2y + -2y Combine like terms: 7y + -2y = 5y -42 + 5y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 -42 + 5y = -2 + 0 -42 + 5y = -2 Add '42' to each side of the equation. -42 + 42 + 5y = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 5y = -2 + 42 5y = -2 + 42 Combine like terms: -2 + 42 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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