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Simplifying -1(9y + 5) + -1(3y + -7) = 16 + -1(4y + -2) Reorder the terms: -1(5 + 9y) + -1(3y + -7) = 16 + -1(4y + -2) (5 * -1 + 9y * -1) + -1(3y + -7) = 16 + -1(4y + -2) (-5 + -9y) + -1(3y + -7) = 16 + -1(4y + -2) Reorder the terms: -5 + -9y + -1(-7 + 3y) = 16 + -1(4y + -2) -5 + -9y + (-7 * -1 + 3y * -1) = 16 + -1(4y + -2) -5 + -9y + (7 + -3y) = 16 + -1(4y + -2) Reorder the terms: -5 + 7 + -9y + -3y = 16 + -1(4y + -2) Combine like terms: -5 + 7 = 2 2 + -9y + -3y = 16 + -1(4y + -2) Combine like terms: -9y + -3y = -12y 2 + -12y = 16 + -1(4y + -2) Reorder the terms: 2 + -12y = 16 + -1(-2 + 4y) 2 + -12y = 16 + (-2 * -1 + 4y * -1) 2 + -12y = 16 + (2 + -4y) Combine like terms: 16 + 2 = 18 2 + -12y = 18 + -4y Solving 2 + -12y = 18 + -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. 2 + -12y + 4y = 18 + -4y + 4y Combine like terms: -12y + 4y = -8y 2 + -8y = 18 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + -8y = 18 + 0 2 + -8y = 18 Add '-2' to each side of the equation. 2 + -2 + -8y = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = 18 + -2 -8y = 18 + -2 Combine like terms: 18 + -2 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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