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Simplifying 9(y + -6) + 8(y + 2) = 13 Reorder the terms: 9(-6 + y) + 8(y + 2) = 13 (-6 * 9 + y * 9) + 8(y + 2) = 13 (-54 + 9y) + 8(y + 2) = 13 Reorder the terms: -54 + 9y + 8(2 + y) = 13 -54 + 9y + (2 * 8 + y * 8) = 13 -54 + 9y + (16 + 8y) = 13 Reorder the terms: -54 + 16 + 9y + 8y = 13 Combine like terms: -54 + 16 = -38 -38 + 9y + 8y = 13 Combine like terms: 9y + 8y = 17y -38 + 17y = 13 Solving -38 + 17y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 17y = 13 + 38 Combine like terms: -38 + 38 = 0 0 + 17y = 13 + 38 17y = 13 + 38 Combine like terms: 13 + 38 = 51 17y = 51 Divide each side by '17'. y = 3 Simplifying y = 3
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