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Simplifying 15 + 3(3y + -1) = 16 + -1(2y + -7) Reorder the terms: 15 + 3(-1 + 3y) = 16 + -1(2y + -7) 15 + (-1 * 3 + 3y * 3) = 16 + -1(2y + -7) 15 + (-3 + 9y) = 16 + -1(2y + -7) Combine like terms: 15 + -3 = 12 12 + 9y = 16 + -1(2y + -7) Reorder the terms: 12 + 9y = 16 + -1(-7 + 2y) 12 + 9y = 16 + (-7 * -1 + 2y * -1) 12 + 9y = 16 + (7 + -2y) Combine like terms: 16 + 7 = 23 12 + 9y = 23 + -2y Solving 12 + 9y = 23 + -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. 12 + 9y + 2y = 23 + -2y + 2y Combine like terms: 9y + 2y = 11y 12 + 11y = 23 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 11y = 23 + 0 12 + 11y = 23 Add '-12' to each side of the equation. 12 + -12 + 11y = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 11y = 23 + -12 11y = 23 + -12 Combine like terms: 23 + -12 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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