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Simplifying 8y + 48 = 2y + 42 Reorder the terms: 48 + 8y = 2y + 42 Reorder the terms: 48 + 8y = 42 + 2y Solving 48 + 8y = 42 + 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. 48 + 8y + -2y = 42 + 2y + -2y Combine like terms: 8y + -2y = 6y 48 + 6y = 42 + 2y + -2y Combine like terms: 2y + -2y = 0 48 + 6y = 42 + 0 48 + 6y = 42 Add '-48' to each side of the equation. 48 + -48 + 6y = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 6y = 42 + -48 6y = 42 + -48 Combine like terms: 42 + -48 = -6 6y = -6 Divide each side by '6'. y = -1 Simplifying y = -1
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