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Simplifying y + 50 = y + 15 + w + 42 + y + 12 Reorder the terms: 50 + y = y + 15 + w + 42 + y + 12 Reorder the terms: 50 + y = 15 + 42 + 12 + w + y + y Combine like terms: 15 + 42 = 57 50 + y = 57 + 12 + w + y + y Combine like terms: 57 + 12 = 69 50 + y = 69 + w + y + y Combine like terms: y + y = 2y 50 + y = 69 + w + 2y Solving 50 + y = 69 + w + 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. 50 + y + -2y = 69 + w + 2y + -2y Combine like terms: y + -2y = -1y 50 + -1y = 69 + w + 2y + -2y Combine like terms: 2y + -2y = 0 50 + -1y = 69 + w + 0 50 + -1y = 69 + w Add '-50' to each side of the equation. 50 + -50 + -1y = 69 + -50 + w Combine like terms: 50 + -50 = 0 0 + -1y = 69 + -50 + w -1y = 69 + -50 + w Combine like terms: 69 + -50 = 19 -1y = 19 + w Divide each side by '-1'. y = -19 + -1w Simplifying y = -19 + -1w
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