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Simplifying 10y + -1[11(9 + -1y) + -21] = 4y + 3(6 + -5y) 10y + -1[(9 * 11 + -1y * 11) + -21] = 4y + 3(6 + -5y) 10y + -1[(99 + -11y) + -21] = 4y + 3(6 + -5y) Reorder the terms: 10y + -1[99 + -21 + -11y] = 4y + 3(6 + -5y) Combine like terms: 99 + -21 = 78 10y + -1[78 + -11y] = 4y + 3(6 + -5y) 10y + [78 * -1 + -11y * -1] = 4y + 3(6 + -5y) 10y + [-78 + 11y] = 4y + 3(6 + -5y) Reorder the terms: -78 + 10y + 11y = 4y + 3(6 + -5y) Combine like terms: 10y + 11y = 21y -78 + 21y = 4y + 3(6 + -5y) -78 + 21y = 4y + (6 * 3 + -5y * 3) -78 + 21y = 4y + (18 + -15y) Reorder the terms: -78 + 21y = 18 + 4y + -15y Combine like terms: 4y + -15y = -11y -78 + 21y = 18 + -11y Solving -78 + 21y = 18 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. -78 + 21y + 11y = 18 + -11y + 11y Combine like terms: 21y + 11y = 32y -78 + 32y = 18 + -11y + 11y Combine like terms: -11y + 11y = 0 -78 + 32y = 18 + 0 -78 + 32y = 18 Add '78' to each side of the equation. -78 + 78 + 32y = 18 + 78 Combine like terms: -78 + 78 = 0 0 + 32y = 18 + 78 32y = 18 + 78 Combine like terms: 18 + 78 = 96 32y = 96 Divide each side by '32'. y = 3 Simplifying y = 3
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