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Simplifying -2(12 + -16y) + -1(8 + 5y) = -21 (12 * -2 + -16y * -2) + -1(8 + 5y) = -21 (-24 + 32y) + -1(8 + 5y) = -21 -24 + 32y + (8 * -1 + 5y * -1) = -21 -24 + 32y + (-8 + -5y) = -21 Reorder the terms: -24 + -8 + 32y + -5y = -21 Combine like terms: -24 + -8 = -32 -32 + 32y + -5y = -21 Combine like terms: 32y + -5y = 27y -32 + 27y = -21 Solving -32 + 27y = -21 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 27y = -21 + 32 Combine like terms: -32 + 32 = 0 0 + 27y = -21 + 32 27y = -21 + 32 Combine like terms: -21 + 32 = 11 27y = 11 Divide each side by '27'. y = 0.4074074074 Simplifying y = 0.4074074074
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