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Simplifying 5(5y + -2) + -4(4y + -3) = y Reorder the terms: 5(-2 + 5y) + -4(4y + -3) = y (-2 * 5 + 5y * 5) + -4(4y + -3) = y (-10 + 25y) + -4(4y + -3) = y Reorder the terms: -10 + 25y + -4(-3 + 4y) = y -10 + 25y + (-3 * -4 + 4y * -4) = y -10 + 25y + (12 + -16y) = y Reorder the terms: -10 + 12 + 25y + -16y = y Combine like terms: -10 + 12 = 2 2 + 25y + -16y = y Combine like terms: 25y + -16y = 9y 2 + 9y = y Solving 2 + 9y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 2 + 9y + -1y = y + -1y Combine like terms: 9y + -1y = 8y 2 + 8y = y + -1y Combine like terms: y + -1y = 0 2 + 8y = 0 Add '-2' to each side of the equation. 2 + -2 + 8y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = 0 + -2 8y = 0 + -2 Combine like terms: 0 + -2 = -2 8y = -2 Divide each side by '8'. y = -0.25 Simplifying y = -0.25
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