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Simplifying 2(4y + 3) + -3(5y + 5) = -2 Reorder the terms: 2(3 + 4y) + -3(5y + 5) = -2 (3 * 2 + 4y * 2) + -3(5y + 5) = -2 (6 + 8y) + -3(5y + 5) = -2 Reorder the terms: 6 + 8y + -3(5 + 5y) = -2 6 + 8y + (5 * -3 + 5y * -3) = -2 6 + 8y + (-15 + -15y) = -2 Reorder the terms: 6 + -15 + 8y + -15y = -2 Combine like terms: 6 + -15 = -9 -9 + 8y + -15y = -2 Combine like terms: 8y + -15y = -7y -9 + -7y = -2 Solving -9 + -7y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7y = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -7y = -2 + 9 -7y = -2 + 9 Combine like terms: -2 + 9 = 7 -7y = 7 Divide each side by '-7'. y = -1 Simplifying y = -1
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