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Simplifying -4(y + -3y) + 3 = -2(2 + -1y) + 1 + 9y Combine like terms: y + -3y = -2y -4(-2y) + 3 = -2(2 + -1y) + 1 + 9y Remove parenthesis around (-2y) -4 * -2y + 3 = -2(2 + -1y) + 1 + 9y Multiply -4 * -2 8y + 3 = -2(2 + -1y) + 1 + 9y Reorder the terms: 3 + 8y = -2(2 + -1y) + 1 + 9y 3 + 8y = (2 * -2 + -1y * -2) + 1 + 9y 3 + 8y = (-4 + 2y) + 1 + 9y Reorder the terms: 3 + 8y = -4 + 1 + 2y + 9y Combine like terms: -4 + 1 = -3 3 + 8y = -3 + 2y + 9y Combine like terms: 2y + 9y = 11y 3 + 8y = -3 + 11y Solving 3 + 8y = -3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 3 + 8y + -11y = -3 + 11y + -11y Combine like terms: 8y + -11y = -3y 3 + -3y = -3 + 11y + -11y Combine like terms: 11y + -11y = 0 3 + -3y = -3 + 0 3 + -3y = -3 Add '-3' to each side of the equation. 3 + -3 + -3y = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = -3 + -3 -3y = -3 + -3 Combine like terms: -3 + -3 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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