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Simplifying 2(y + 2) + 3(y + -4) = 7 Reorder the terms: 2(2 + y) + 3(y + -4) = 7 (2 * 2 + y * 2) + 3(y + -4) = 7 (4 + 2y) + 3(y + -4) = 7 Reorder the terms: 4 + 2y + 3(-4 + y) = 7 4 + 2y + (-4 * 3 + y * 3) = 7 4 + 2y + (-12 + 3y) = 7 Reorder the terms: 4 + -12 + 2y + 3y = 7 Combine like terms: 4 + -12 = -8 -8 + 2y + 3y = 7 Combine like terms: 2y + 3y = 5y -8 + 5y = 7 Solving -8 + 5y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 7 + 8 5y = 7 + 8 Combine like terms: 7 + 8 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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