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Simplifying 2y + 4 + -3y + 5 = -7 + -8 + 3y + 4y Reorder the terms: 4 + 5 + 2y + -3y = -7 + -8 + 3y + 4y Combine like terms: 4 + 5 = 9 9 + 2y + -3y = -7 + -8 + 3y + 4y Combine like terms: 2y + -3y = -1y 9 + -1y = -7 + -8 + 3y + 4y Combine like terms: -7 + -8 = -15 9 + -1y = -15 + 3y + 4y Combine like terms: 3y + 4y = 7y 9 + -1y = -15 + 7y Solving 9 + -1y = -15 + 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. 9 + -1y + -7y = -15 + 7y + -7y Combine like terms: -1y + -7y = -8y 9 + -8y = -15 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + -8y = -15 + 0 9 + -8y = -15 Add '-9' to each side of the equation. 9 + -9 + -8y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = -15 + -9 -8y = -15 + -9 Combine like terms: -15 + -9 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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