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Simplifying 5(3y + 6) + -2(5 + 2y) + 16 + -1(3 + 2y) = 168 Reorder the terms: 5(6 + 3y) + -2(5 + 2y) + 16 + -1(3 + 2y) = 168 (6 * 5 + 3y * 5) + -2(5 + 2y) + 16 + -1(3 + 2y) = 168 (30 + 15y) + -2(5 + 2y) + 16 + -1(3 + 2y) = 168 30 + 15y + (5 * -2 + 2y * -2) + 16 + -1(3 + 2y) = 168 30 + 15y + (-10 + -4y) + 16 + -1(3 + 2y) = 168 30 + 15y + -10 + -4y + 16 + (3 * -1 + 2y * -1) = 168 30 + 15y + -10 + -4y + 16 + (-3 + -2y) = 168 Reorder the terms: 30 + -10 + 16 + -3 + 15y + -4y + -2y = 168 Combine like terms: 30 + -10 = 20 20 + 16 + -3 + 15y + -4y + -2y = 168 Combine like terms: 20 + 16 = 36 36 + -3 + 15y + -4y + -2y = 168 Combine like terms: 36 + -3 = 33 33 + 15y + -4y + -2y = 168 Combine like terms: 15y + -4y = 11y 33 + 11y + -2y = 168 Combine like terms: 11y + -2y = 9y 33 + 9y = 168 Solving 33 + 9y = 168 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 9y = 168 + -33 Combine like terms: 33 + -33 = 0 0 + 9y = 168 + -33 9y = 168 + -33 Combine like terms: 168 + -33 = 135 9y = 135 Divide each side by '9'. y = 15 Simplifying y = 15
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