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Simplifying 2(4y + 2) = 3(5y + -5) Reorder the terms: 2(2 + 4y) = 3(5y + -5) (2 * 2 + 4y * 2) = 3(5y + -5) (4 + 8y) = 3(5y + -5) Reorder the terms: 4 + 8y = 3(-5 + 5y) 4 + 8y = (-5 * 3 + 5y * 3) 4 + 8y = (-15 + 15y) Solving 4 + 8y = -15 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 4 + 8y + -15y = -15 + 15y + -15y Combine like terms: 8y + -15y = -7y 4 + -7y = -15 + 15y + -15y Combine like terms: 15y + -15y = 0 4 + -7y = -15 + 0 4 + -7y = -15 Add '-4' to each side of the equation. 4 + -4 + -7y = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = -15 + -4 -7y = -15 + -4 Combine like terms: -15 + -4 = -19 -7y = -19 Divide each side by '-7'. y = 2.714285714 Simplifying y = 2.714285714
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