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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 = 8 -6y = 8 Divide each side by '-6'. y = -1.333333333 Simplifying y = -1.333333333
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