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Simplifying 2(y + -2) + 3(y + -7) = 0 Reorder the terms: 2(-2 + y) + 3(y + -7) = 0 (-2 * 2 + y * 2) + 3(y + -7) = 0 (-4 + 2y) + 3(y + -7) = 0 Reorder the terms: -4 + 2y + 3(-7 + y) = 0 -4 + 2y + (-7 * 3 + y * 3) = 0 -4 + 2y + (-21 + 3y) = 0 Reorder the terms: -4 + -21 + 2y + 3y = 0 Combine like terms: -4 + -21 = -25 -25 + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -25 + 5y = 0 Solving -25 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 5y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 5y = 0 + 25 5y = 0 + 25 Combine like terms: 0 + 25 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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