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Simplifying 8(y + -4) + 7(y + 2) = 12 Reorder the terms: 8(-4 + y) + 7(y + 2) = 12 (-4 * 8 + y * 8) + 7(y + 2) = 12 (-32 + 8y) + 7(y + 2) = 12 Reorder the terms: -32 + 8y + 7(2 + y) = 12 -32 + 8y + (2 * 7 + y * 7) = 12 -32 + 8y + (14 + 7y) = 12 Reorder the terms: -32 + 14 + 8y + 7y = 12 Combine like terms: -32 + 14 = -18 -18 + 8y + 7y = 12 Combine like terms: 8y + 7y = 15y -18 + 15y = 12 Solving -18 + 15y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15y = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 15y = 12 + 18 15y = 12 + 18 Combine like terms: 12 + 18 = 30 15y = 30 Divide each side by '15'. y = 2 Simplifying y = 2
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