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Simplifying 208 = 8(9y + 6) + 2(7y + -6) Reorder the terms: 208 = 8(6 + 9y) + 2(7y + -6) 208 = (6 * 8 + 9y * 8) + 2(7y + -6) 208 = (48 + 72y) + 2(7y + -6) Reorder the terms: 208 = 48 + 72y + 2(-6 + 7y) 208 = 48 + 72y + (-6 * 2 + 7y * 2) 208 = 48 + 72y + (-12 + 14y) Reorder the terms: 208 = 48 + -12 + 72y + 14y Combine like terms: 48 + -12 = 36 208 = 36 + 72y + 14y Combine like terms: 72y + 14y = 86y 208 = 36 + 86y Solving 208 = 36 + 86y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-86y' to each side of the equation. 208 + -86y = 36 + 86y + -86y Combine like terms: 86y + -86y = 0 208 + -86y = 36 + 0 208 + -86y = 36 Add '-208' to each side of the equation. 208 + -208 + -86y = 36 + -208 Combine like terms: 208 + -208 = 0 0 + -86y = 36 + -208 -86y = 36 + -208 Combine like terms: 36 + -208 = -172 -86y = -172 Divide each side by '-86'. y = 2 Simplifying y = 2
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