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Simplifying -45 + 20y + 9 = 6(4y + -2) + -4 Reorder the terms: -45 + 9 + 20y = 6(4y + -2) + -4 Combine like terms: -45 + 9 = -36 -36 + 20y = 6(4y + -2) + -4 Reorder the terms: -36 + 20y = 6(-2 + 4y) + -4 -36 + 20y = (-2 * 6 + 4y * 6) + -4 -36 + 20y = (-12 + 24y) + -4 Reorder the terms: -36 + 20y = -12 + -4 + 24y Combine like terms: -12 + -4 = -16 -36 + 20y = -16 + 24y Solving -36 + 20y = -16 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -36 + 20y + -24y = -16 + 24y + -24y Combine like terms: 20y + -24y = -4y -36 + -4y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 -36 + -4y = -16 + 0 -36 + -4y = -16 Add '36' to each side of the equation. -36 + 36 + -4y = -16 + 36 Combine like terms: -36 + 36 = 0 0 + -4y = -16 + 36 -4y = -16 + 36 Combine like terms: -16 + 36 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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