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Simplifying 5(y + 2) + -4y = 8y + -1(2 + y) Reorder the terms: 5(2 + y) + -4y = 8y + -1(2 + y) (2 * 5 + y * 5) + -4y = 8y + -1(2 + y) (10 + 5y) + -4y = 8y + -1(2 + y) Combine like terms: 5y + -4y = 1y 10 + 1y = 8y + -1(2 + y) 10 + 1y = 8y + (2 * -1 + y * -1) 10 + 1y = 8y + (-2 + -1y) Reorder the terms: 10 + 1y = -2 + 8y + -1y Combine like terms: 8y + -1y = 7y 10 + 1y = -2 + 7y Solving 10 + 1y = -2 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 10 + 1y + -7y = -2 + 7y + -7y Combine like terms: 1y + -7y = -6y 10 + -6y = -2 + 7y + -7y Combine like terms: 7y + -7y = 0 10 + -6y = -2 + 0 10 + -6y = -2 Add '-10' to each side of the equation. 10 + -10 + -6y = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6y = -2 + -10 -6y = -2 + -10 Combine like terms: -2 + -10 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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