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Simplifying 5y + -6y + y + 36 = 6y + 30 + -2y Reorder the terms: 36 + 5y + -6y + y = 6y + 30 + -2y Combine like terms: 5y + -6y = -1y 36 + -1y + y = 6y + 30 + -2y Combine like terms: -1y + y = 0 36 + 0 = 6y + 30 + -2y 36 = 6y + 30 + -2y Reorder the terms: 36 = 30 + 6y + -2y Combine like terms: 6y + -2y = 4y 36 = 30 + 4y Solving 36 = 30 + 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. 36 + -4y = 30 + 4y + -4y Combine like terms: 4y + -4y = 0 36 + -4y = 30 + 0 36 + -4y = 30 Add '-36' to each side of the equation. 36 + -36 + -4y = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -4y = 30 + -36 -4y = 30 + -36 Combine like terms: 30 + -36 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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