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Simplifying 3(y + -4) + -6 = -2(-3y + 8) + -9y Reorder the terms: 3(-4 + y) + -6 = -2(-3y + 8) + -9y (-4 * 3 + y * 3) + -6 = -2(-3y + 8) + -9y (-12 + 3y) + -6 = -2(-3y + 8) + -9y Reorder the terms: -12 + -6 + 3y = -2(-3y + 8) + -9y Combine like terms: -12 + -6 = -18 -18 + 3y = -2(-3y + 8) + -9y Reorder the terms: -18 + 3y = -2(8 + -3y) + -9y -18 + 3y = (8 * -2 + -3y * -2) + -9y -18 + 3y = (-16 + 6y) + -9y Combine like terms: 6y + -9y = -3y -18 + 3y = -16 + -3y Solving -18 + 3y = -16 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -18 + 3y + 3y = -16 + -3y + 3y Combine like terms: 3y + 3y = 6y -18 + 6y = -16 + -3y + 3y Combine like terms: -3y + 3y = 0 -18 + 6y = -16 + 0 -18 + 6y = -16 Add '18' to each side of the equation. -18 + 18 + 6y = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 6y = -16 + 18 6y = -16 + 18 Combine like terms: -16 + 18 = 2 6y = 2 Divide each side by '6'. y = 0.3333333333 Simplifying y = 0.3333333333
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