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Simplifying 6(y + -3) + -6 = -2(9y + 8) + -2y Reorder the terms: 6(-3 + y) + -6 = -2(9y + 8) + -2y (-3 * 6 + y * 6) + -6 = -2(9y + 8) + -2y (-18 + 6y) + -6 = -2(9y + 8) + -2y Reorder the terms: -18 + -6 + 6y = -2(9y + 8) + -2y Combine like terms: -18 + -6 = -24 -24 + 6y = -2(9y + 8) + -2y Reorder the terms: -24 + 6y = -2(8 + 9y) + -2y -24 + 6y = (8 * -2 + 9y * -2) + -2y -24 + 6y = (-16 + -18y) + -2y Combine like terms: -18y + -2y = -20y -24 + 6y = -16 + -20y Solving -24 + 6y = -16 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. -24 + 6y + 20y = -16 + -20y + 20y Combine like terms: 6y + 20y = 26y -24 + 26y = -16 + -20y + 20y Combine like terms: -20y + 20y = 0 -24 + 26y = -16 + 0 -24 + 26y = -16 Add '24' to each side of the equation. -24 + 24 + 26y = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 26y = -16 + 24 26y = -16 + 24 Combine like terms: -16 + 24 = 8 26y = 8 Divide each side by '26'. y = 0.3076923077 Simplifying y = 0.3076923077
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