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Simplifying 5y + -6 + y = 75 + 2y + -5 Reorder the terms: -6 + 5y + y = 75 + 2y + -5 Combine like terms: 5y + y = 6y -6 + 6y = 75 + 2y + -5 Reorder the terms: -6 + 6y = 75 + -5 + 2y Combine like terms: 75 + -5 = 70 -6 + 6y = 70 + 2y Solving -6 + 6y = 70 + 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. -6 + 6y + -2y = 70 + 2y + -2y Combine like terms: 6y + -2y = 4y -6 + 4y = 70 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 4y = 70 + 0 -6 + 4y = 70 Add '6' to each side of the equation. -6 + 6 + 4y = 70 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = 70 + 6 4y = 70 + 6 Combine like terms: 70 + 6 = 76 4y = 76 Divide each side by '4'. y = 19 Simplifying y = 19
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