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Simplifying 3[5 + -3(y + -4)] = 2y + 7 Reorder the terms: 3[5 + -3(-4 + y)] = 2y + 7 3[5 + (-4 * -3 + y * -3)] = 2y + 7 3[5 + (12 + -3y)] = 2y + 7 Combine like terms: 5 + 12 = 17 3[17 + -3y] = 2y + 7 [17 * 3 + -3y * 3] = 2y + 7 [51 + -9y] = 2y + 7 Reorder the terms: 51 + -9y = 7 + 2y Solving 51 + -9y = 7 + 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. 51 + -9y + -2y = 7 + 2y + -2y Combine like terms: -9y + -2y = -11y 51 + -11y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 51 + -11y = 7 + 0 51 + -11y = 7 Add '-51' to each side of the equation. 51 + -51 + -11y = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -11y = 7 + -51 -11y = 7 + -51 Combine like terms: 7 + -51 = -44 -11y = -44 Divide each side by '-11'. y = 4 Simplifying y = 4
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