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Simplifying 8(y + -6) + 16(y + -10) = -1 Reorder the terms: 8(-6 + y) + 16(y + -10) = -1 (-6 * 8 + y * 8) + 16(y + -10) = -1 (-48 + 8y) + 16(y + -10) = -1 Reorder the terms: -48 + 8y + 16(-10 + y) = -1 -48 + 8y + (-10 * 16 + y * 16) = -1 -48 + 8y + (-160 + 16y) = -1 Reorder the terms: -48 + -160 + 8y + 16y = -1 Combine like terms: -48 + -160 = -208 -208 + 8y + 16y = -1 Combine like terms: 8y + 16y = 24y -208 + 24y = -1 Solving -208 + 24y = -1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '208' to each side of the equation. -208 + 208 + 24y = -1 + 208 Combine like terms: -208 + 208 = 0 0 + 24y = -1 + 208 24y = -1 + 208 Combine like terms: -1 + 208 = 207 24y = 207 Divide each side by '24'. y = 8.625 Simplifying y = 8.625
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