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Simplifying 8y + -3 = -7y + 42 Reorder the terms: -3 + 8y = -7y + 42 Reorder the terms: -3 + 8y = 42 + -7y Solving -3 + 8y = 42 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -3 + 8y + 7y = 42 + -7y + 7y Combine like terms: 8y + 7y = 15y -3 + 15y = 42 + -7y + 7y Combine like terms: -7y + 7y = 0 -3 + 15y = 42 + 0 -3 + 15y = 42 Add '3' to each side of the equation. -3 + 3 + 15y = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 15y = 42 + 3 15y = 42 + 3 Combine like terms: 42 + 3 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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