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Simplifying 6(y + -3) + -4 = -2(-9y + 8) + -3y Reorder the terms: 6(-3 + y) + -4 = -2(-9y + 8) + -3y (-3 * 6 + y * 6) + -4 = -2(-9y + 8) + -3y (-18 + 6y) + -4 = -2(-9y + 8) + -3y Reorder the terms: -18 + -4 + 6y = -2(-9y + 8) + -3y Combine like terms: -18 + -4 = -22 -22 + 6y = -2(-9y + 8) + -3y Reorder the terms: -22 + 6y = -2(8 + -9y) + -3y -22 + 6y = (8 * -2 + -9y * -2) + -3y -22 + 6y = (-16 + 18y) + -3y Combine like terms: 18y + -3y = 15y -22 + 6y = -16 + 15y Solving -22 + 6y = -16 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -22 + 6y + -15y = -16 + 15y + -15y Combine like terms: 6y + -15y = -9y -22 + -9y = -16 + 15y + -15y Combine like terms: 15y + -15y = 0 -22 + -9y = -16 + 0 -22 + -9y = -16 Add '22' to each side of the equation. -22 + 22 + -9y = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -9y = -16 + 22 -9y = -16 + 22 Combine like terms: -16 + 22 = 6 -9y = 6 Divide each side by '-9'. y = -0.6666666667 Simplifying y = -0.6666666667
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