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Simplifying 4y + 10 = 42 + -4y Reorder the terms: 10 + 4y = 42 + -4y Solving 10 + 4y = 42 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 10 + 4y + 4y = 42 + -4y + 4y Combine like terms: 4y + 4y = 8y 10 + 8y = 42 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + 8y = 42 + 0 10 + 8y = 42 Add '-10' to each side of the equation. 10 + -10 + 8y = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 8y = 42 + -10 8y = 42 + -10 Combine like terms: 42 + -10 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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