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Simplifying 2(y + -3) + -6 = -4(-5y + 2) + -4y Reorder the terms: 2(-3 + y) + -6 = -4(-5y + 2) + -4y (-3 * 2 + y * 2) + -6 = -4(-5y + 2) + -4y (-6 + 2y) + -6 = -4(-5y + 2) + -4y Reorder the terms: -6 + -6 + 2y = -4(-5y + 2) + -4y Combine like terms: -6 + -6 = -12 -12 + 2y = -4(-5y + 2) + -4y Reorder the terms: -12 + 2y = -4(2 + -5y) + -4y -12 + 2y = (2 * -4 + -5y * -4) + -4y -12 + 2y = (-8 + 20y) + -4y Combine like terms: 20y + -4y = 16y -12 + 2y = -8 + 16y Solving -12 + 2y = -8 + 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 = -8 + 16y + -16y Combine like terms: 2y + -16y = -14y -12 + -14y = -8 + 16y + -16y Combine like terms: 16y + -16y = 0 -12 + -14y = -8 + 0 -12 + -14y = -8 Add '12' to each side of the equation. -12 + 12 + -14y = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -14y = -8 + 12 -14y = -8 + 12 Combine like terms: -8 + 12 = 4 -14y = 4 Divide each side by '-14'. y = -0.2857142857 Simplifying y = -0.2857142857
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