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Simplifying y = 2(y + -9) + -1(4y + -7) Reorder the terms: y = 2(-9 + y) + -1(4y + -7) y = (-9 * 2 + y * 2) + -1(4y + -7) y = (-18 + 2y) + -1(4y + -7) Reorder the terms: y = -18 + 2y + -1(-7 + 4y) y = -18 + 2y + (-7 * -1 + 4y * -1) y = -18 + 2y + (7 + -4y) Reorder the terms: y = -18 + 7 + 2y + -4y Combine like terms: -18 + 7 = -11 y = -11 + 2y + -4y Combine like terms: 2y + -4y = -2y y = -11 + -2y Solving y = -11 + -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. y + 2y = -11 + -2y + 2y Combine like terms: y + 2y = 3y 3y = -11 + -2y + 2y Combine like terms: -2y + 2y = 0 3y = -11 + 0 3y = -11 Divide each side by '3'. y = -3.666666667 Simplifying y = -3.666666667
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