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Simplifying 5y + 10 + -4y = 8y + -2 + y Reorder the terms: 10 + 5y + -4y = 8y + -2 + y Combine like terms: 5y + -4y = 1y 10 + 1y = 8y + -2 + y Reorder the terms: 10 + 1y = -2 + 8y + y Combine like terms: 8y + y = 9y 10 + 1y = -2 + 9y Solving 10 + 1y = -2 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 10 + 1y + -9y = -2 + 9y + -9y Combine like terms: 1y + -9y = -8y 10 + -8y = -2 + 9y + -9y Combine like terms: 9y + -9y = 0 10 + -8y = -2 + 0 10 + -8y = -2 Add '-10' to each side of the equation. 10 + -10 + -8y = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = -2 + -10 -8y = -2 + -10 Combine like terms: -2 + -10 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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