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Simplifying -2(4y + -7) + -2(5y + -9) + -7y = 0 Reorder the terms: -2(-7 + 4y) + -2(5y + -9) + -7y = 0 (-7 * -2 + 4y * -2) + -2(5y + -9) + -7y = 0 (14 + -8y) + -2(5y + -9) + -7y = 0 Reorder the terms: 14 + -8y + -2(-9 + 5y) + -7y = 0 14 + -8y + (-9 * -2 + 5y * -2) + -7y = 0 14 + -8y + (18 + -10y) + -7y = 0 Reorder the terms: 14 + 18 + -8y + -10y + -7y = 0 Combine like terms: 14 + 18 = 32 32 + -8y + -10y + -7y = 0 Combine like terms: -8y + -10y = -18y 32 + -18y + -7y = 0 Combine like terms: -18y + -7y = -25y 32 + -25y = 0 Solving 32 + -25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -25y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -25y = 0 + -32 -25y = 0 + -32 Combine like terms: 0 + -32 = -32 -25y = -32 Divide each side by '-25'. y = 1.28 Simplifying y = 1.28
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