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Simplifying 2y + -1(4y + 3) = 6y + 3(y + 4) Reorder the terms: 2y + -1(3 + 4y) = 6y + 3(y + 4) 2y + (3 * -1 + 4y * -1) = 6y + 3(y + 4) 2y + (-3 + -4y) = 6y + 3(y + 4) Reorder the terms: -3 + 2y + -4y = 6y + 3(y + 4) Combine like terms: 2y + -4y = -2y -3 + -2y = 6y + 3(y + 4) Reorder the terms: -3 + -2y = 6y + 3(4 + y) -3 + -2y = 6y + (4 * 3 + y * 3) -3 + -2y = 6y + (12 + 3y) Reorder the terms: -3 + -2y = 12 + 6y + 3y Combine like terms: 6y + 3y = 9y -3 + -2y = 12 + 9y Solving -3 + -2y = 12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -3 + -2y + -9y = 12 + 9y + -9y Combine like terms: -2y + -9y = -11y -3 + -11y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 -3 + -11y = 12 + 0 -3 + -11y = 12 Add '3' to each side of the equation. -3 + 3 + -11y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -11y = 12 + 3 -11y = 12 + 3 Combine like terms: 12 + 3 = 15 -11y = 15 Divide each side by '-11'. y = -1.363636364 Simplifying y = -1.363636364
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