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Simplifying -55 + 4y + 6 = 2(4y + -4) + -5 Reorder the terms: -55 + 6 + 4y = 2(4y + -4) + -5 Combine like terms: -55 + 6 = -49 -49 + 4y = 2(4y + -4) + -5 Reorder the terms: -49 + 4y = 2(-4 + 4y) + -5 -49 + 4y = (-4 * 2 + 4y * 2) + -5 -49 + 4y = (-8 + 8y) + -5 Reorder the terms: -49 + 4y = -8 + -5 + 8y Combine like terms: -8 + -5 = -13 -49 + 4y = -13 + 8y Solving -49 + 4y = -13 + 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. -49 + 4y + -8y = -13 + 8y + -8y Combine like terms: 4y + -8y = -4y -49 + -4y = -13 + 8y + -8y Combine like terms: 8y + -8y = 0 -49 + -4y = -13 + 0 -49 + -4y = -13 Add '49' to each side of the equation. -49 + 49 + -4y = -13 + 49 Combine like terms: -49 + 49 = 0 0 + -4y = -13 + 49 -4y = -13 + 49 Combine like terms: -13 + 49 = 36 -4y = 36 Divide each side by '-4'. y = -9 Simplifying y = -9
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