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Simplifying -4(2y + 4) + -14 = -6(y + 6) + 2y Reorder the terms: -4(4 + 2y) + -14 = -6(y + 6) + 2y (4 * -4 + 2y * -4) + -14 = -6(y + 6) + 2y (-16 + -8y) + -14 = -6(y + 6) + 2y Reorder the terms: -16 + -14 + -8y = -6(y + 6) + 2y Combine like terms: -16 + -14 = -30 -30 + -8y = -6(y + 6) + 2y Reorder the terms: -30 + -8y = -6(6 + y) + 2y -30 + -8y = (6 * -6 + y * -6) + 2y -30 + -8y = (-36 + -6y) + 2y Combine like terms: -6y + 2y = -4y -30 + -8y = -36 + -4y Solving -30 + -8y = -36 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -30 + -8y + 4y = -36 + -4y + 4y Combine like terms: -8y + 4y = -4y -30 + -4y = -36 + -4y + 4y Combine like terms: -4y + 4y = 0 -30 + -4y = -36 + 0 -30 + -4y = -36 Add '30' to each side of the equation. -30 + 30 + -4y = -36 + 30 Combine like terms: -30 + 30 = 0 0 + -4y = -36 + 30 -4y = -36 + 30 Combine like terms: -36 + 30 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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