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Simplifying 15y + -1[9(8 + -1y) + -8] = 4y + 2(7 + -3y) 15y + -1[(8 * 9 + -1y * 9) + -8] = 4y + 2(7 + -3y) 15y + -1[(72 + -9y) + -8] = 4y + 2(7 + -3y) Reorder the terms: 15y + -1[72 + -8 + -9y] = 4y + 2(7 + -3y) Combine like terms: 72 + -8 = 64 15y + -1[64 + -9y] = 4y + 2(7 + -3y) 15y + [64 * -1 + -9y * -1] = 4y + 2(7 + -3y) 15y + [-64 + 9y] = 4y + 2(7 + -3y) Reorder the terms: -64 + 15y + 9y = 4y + 2(7 + -3y) Combine like terms: 15y + 9y = 24y -64 + 24y = 4y + 2(7 + -3y) -64 + 24y = 4y + (7 * 2 + -3y * 2) -64 + 24y = 4y + (14 + -6y) Reorder the terms: -64 + 24y = 14 + 4y + -6y Combine like terms: 4y + -6y = -2y -64 + 24y = 14 + -2y Solving -64 + 24y = 14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -64 + 24y + 2y = 14 + -2y + 2y Combine like terms: 24y + 2y = 26y -64 + 26y = 14 + -2y + 2y Combine like terms: -2y + 2y = 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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