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Simplifying 52 + 6y + -10 = 16y + -14 + -2y Reorder the terms: 52 + -10 + 6y = 16y + -14 + -2y Combine like terms: 52 + -10 = 42 42 + 6y = 16y + -14 + -2y Reorder the terms: 42 + 6y = -14 + 16y + -2y Combine like terms: 16y + -2y = 14y 42 + 6y = -14 + 14y Solving 42 + 6y = -14 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 42 + 6y + -14y = -14 + 14y + -14y Combine like terms: 6y + -14y = -8y 42 + -8y = -14 + 14y + -14y Combine like terms: 14y + -14y = 0 42 + -8y = -14 + 0 42 + -8y = -14 Add '-42' to each side of the equation. 42 + -42 + -8y = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -8y = -14 + -42 -8y = -14 + -42 Combine like terms: -14 + -42 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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