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Simplifying 2(9y + -1) = 99 + -7(3 + -4y) Reorder the terms: 2(-1 + 9y) = 99 + -7(3 + -4y) (-1 * 2 + 9y * 2) = 99 + -7(3 + -4y) (-2 + 18y) = 99 + -7(3 + -4y) -2 + 18y = 99 + (3 * -7 + -4y * -7) -2 + 18y = 99 + (-21 + 28y) Combine like terms: 99 + -21 = 78 -2 + 18y = 78 + 28y Solving -2 + 18y = 78 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -2 + 18y + -28y = 78 + 28y + -28y Combine like terms: 18y + -28y = -10y -2 + -10y = 78 + 28y + -28y Combine like terms: 28y + -28y = 0 -2 + -10y = 78 + 0 -2 + -10y = 78 Add '2' to each side of the equation. -2 + 2 + -10y = 78 + 2 Combine like terms: -2 + 2 = 0 0 + -10y = 78 + 2 -10y = 78 + 2 Combine like terms: 78 + 2 = 80 -10y = 80 Divide each side by '-10'. y = -8 Simplifying y = -8
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