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Simplifying 2(y + -3) + -6 = -4(-6y + 1) + -8y Reorder the terms: 2(-3 + y) + -6 = -4(-6y + 1) + -8y (-3 * 2 + y * 2) + -6 = -4(-6y + 1) + -8y (-6 + 2y) + -6 = -4(-6y + 1) + -8y Reorder the terms: -6 + -6 + 2y = -4(-6y + 1) + -8y Combine like terms: -6 + -6 = -12 -12 + 2y = -4(-6y + 1) + -8y Reorder the terms: -12 + 2y = -4(1 + -6y) + -8y -12 + 2y = (1 * -4 + -6y * -4) + -8y -12 + 2y = (-4 + 24y) + -8y Combine like terms: 24y + -8y = 16y -12 + 2y = -4 + 16y Solving -12 + 2y = -4 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -12 + 2y + -16y = -4 + 16y + -16y Combine like terms: 2y + -16y = -14y -12 + -14y = -4 + 16y + -16y Combine like terms: 16y + -16y = 0 -12 + -14y = -4 + 0 -12 + -14y = -4 Add '12' to each side of the equation. -12 + 12 + -14y = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -14y = -4 + 12 -14y = -4 + 12 Combine like terms: -4 + 12 = 8 -14y = 8 Divide each side by '-14'. y = -0.5714285714 Simplifying y = -0.5714285714
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