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Simplifying 17y + -1[10(6 + -1y) + -8] = 4y + 3(4 + -3y) 17y + -1[(6 * 10 + -1y * 10) + -8] = 4y + 3(4 + -3y) 17y + -1[(60 + -10y) + -8] = 4y + 3(4 + -3y) Reorder the terms: 17y + -1[60 + -8 + -10y] = 4y + 3(4 + -3y) Combine like terms: 60 + -8 = 52 17y + -1[52 + -10y] = 4y + 3(4 + -3y) 17y + [52 * -1 + -10y * -1] = 4y + 3(4 + -3y) 17y + [-52 + 10y] = 4y + 3(4 + -3y) Reorder the terms: -52 + 17y + 10y = 4y + 3(4 + -3y) Combine like terms: 17y + 10y = 27y -52 + 27y = 4y + 3(4 + -3y) -52 + 27y = 4y + (4 * 3 + -3y * 3) -52 + 27y = 4y + (12 + -9y) Reorder the terms: -52 + 27y = 12 + 4y + -9y Combine like terms: 4y + -9y = -5y -52 + 27y = 12 + -5y Solving -52 + 27y = 12 + -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. -52 + 27y + 5y = 12 + -5y + 5y Combine like terms: 27y + 5y = 32y -52 + 32y = 12 + -5y + 5y Combine like terms: -5y + 5y = 0 -52 + 32y = 12 + 0 -52 + 32y = 12 Add '52' to each side of the equation. -52 + 52 + 32y = 12 + 52 Combine like terms: -52 + 52 = 0 0 + 32y = 12 + 52 32y = 12 + 52 Combine like terms: 12 + 52 = 64 32y = 64 Divide each side by '32'. y = 2 Simplifying y = 2
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