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Simplifying 6(y + -1) + -6 = -2(-9y + 4) + -4y Reorder the terms: 6(-1 + y) + -6 = -2(-9y + 4) + -4y (-1 * 6 + y * 6) + -6 = -2(-9y + 4) + -4y (-6 + 6y) + -6 = -2(-9y + 4) + -4y Reorder the terms: -6 + -6 + 6y = -2(-9y + 4) + -4y Combine like terms: -6 + -6 = -12 -12 + 6y = -2(-9y + 4) + -4y Reorder the terms: -12 + 6y = -2(4 + -9y) + -4y -12 + 6y = (4 * -2 + -9y * -2) + -4y -12 + 6y = (-8 + 18y) + -4y Combine like terms: 18y + -4y = 14y -12 + 6y = -8 + 14y Solving -12 + 6y = -8 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -12 + 6y + -14y = -8 + 14y + -14y Combine like terms: 6y + -14y = -8y -12 + -8y = -8 + 14y + -14y Combine like terms: 14y + -14y = 0 -12 + -8y = -8 + 0 -12 + -8y = -8 Add '12' to each side of the equation. -12 + 12 + -8y = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -8y = -8 + 12 -8y = -8 + 12 Combine like terms: -8 + 12 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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