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Simplifying 4(3y + -9) + -1y = -4(y + -2) Reorder the terms: 4(-9 + 3y) + -1y = -4(y + -2) (-9 * 4 + 3y * 4) + -1y = -4(y + -2) (-36 + 12y) + -1y = -4(y + -2) Combine like terms: 12y + -1y = 11y -36 + 11y = -4(y + -2) Reorder the terms: -36 + 11y = -4(-2 + y) -36 + 11y = (-2 * -4 + y * -4) -36 + 11y = (8 + -4y) Solving -36 + 11y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -36 + 11y + 4y = 8 + -4y + 4y Combine like terms: 11y + 4y = 15y -36 + 15y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 -36 + 15y = 8 + 0 -36 + 15y = 8 Add '36' to each side of the equation. -36 + 36 + 15y = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 15y = 8 + 36 15y = 8 + 36 Combine like terms: 8 + 36 = 44 15y = 44 Divide each side by '15'. y = 2.933333333 Simplifying y = 2.933333333
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