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Simplifying 10y + -1[11(6 + -1y) + -2] = 5y + 2(7 + -5y) 10y + -1[(6 * 11 + -1y * 11) + -2] = 5y + 2(7 + -5y) 10y + -1[(66 + -11y) + -2] = 5y + 2(7 + -5y) Reorder the terms: 10y + -1[66 + -2 + -11y] = 5y + 2(7 + -5y) Combine like terms: 66 + -2 = 64 10y + -1[64 + -11y] = 5y + 2(7 + -5y) 10y + [64 * -1 + -11y * -1] = 5y + 2(7 + -5y) 10y + [-64 + 11y] = 5y + 2(7 + -5y) Reorder the terms: -64 + 10y + 11y = 5y + 2(7 + -5y) Combine like terms: 10y + 11y = 21y -64 + 21y = 5y + 2(7 + -5y) -64 + 21y = 5y + (7 * 2 + -5y * 2) -64 + 21y = 5y + (14 + -10y) Reorder the terms: -64 + 21y = 14 + 5y + -10y Combine like terms: 5y + -10y = -5y -64 + 21y = 14 + -5y Solving -64 + 21y = 14 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -64 + 21y + 5y = 14 + -5y + 5y Combine like terms: 21y + 5y = 26y -64 + 26y = 14 + -5y + 5y Combine like terms: -5y + 5y = 0 -64 + 26y = 14 + 0 -64 + 26y = 14 Add '64' to each side of the equation. -64 + 64 + 26y = 14 + 64 Combine like terms: -64 + 64 = 0 0 + 26y = 14 + 64 26y = 14 + 64 Combine like terms: 14 + 64 = 78 26y = 78 Divide each side by '26'. y = 3 Simplifying y = 3
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