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Simplifying 2(y + -4) + -3 = -2(-7y + 7) + -6y Reorder the terms: 2(-4 + y) + -3 = -2(-7y + 7) + -6y (-4 * 2 + y * 2) + -3 = -2(-7y + 7) + -6y (-8 + 2y) + -3 = -2(-7y + 7) + -6y Reorder the terms: -8 + -3 + 2y = -2(-7y + 7) + -6y Combine like terms: -8 + -3 = -11 -11 + 2y = -2(-7y + 7) + -6y Reorder the terms: -11 + 2y = -2(7 + -7y) + -6y -11 + 2y = (7 * -2 + -7y * -2) + -6y -11 + 2y = (-14 + 14y) + -6y Combine like terms: 14y + -6y = 8y -11 + 2y = -14 + 8y Solving -11 + 2y = -14 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -11 + 2y + -8y = -14 + 8y + -8y Combine like terms: 2y + -8y = -6y -11 + -6y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 -11 + -6y = -14 + 0 -11 + -6y = -14 Add '11' to each side of the equation. -11 + 11 + -6y = -14 + 11 Combine like terms: -11 + 11 = 0 0 + -6y = -14 + 11 -6y = -14 + 11 Combine like terms: -14 + 11 = -3 -6y = -3 Divide each side by '-6'. y = 0.5 Simplifying y = 0.5
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