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Simplifying -46 + 4y + 7 = 2(4y + -5) + -5 Reorder the terms: -46 + 7 + 4y = 2(4y + -5) + -5 Combine like terms: -46 + 7 = -39 -39 + 4y = 2(4y + -5) + -5 Reorder the terms: -39 + 4y = 2(-5 + 4y) + -5 -39 + 4y = (-5 * 2 + 4y * 2) + -5 -39 + 4y = (-10 + 8y) + -5 Reorder the terms: -39 + 4y = -10 + -5 + 8y Combine like terms: -10 + -5 = -15 -39 + 4y = -15 + 8y Solving -39 + 4y = -15 + 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. -39 + 4y + -8y = -15 + 8y + -8y Combine like terms: 4y + -8y = -4y -39 + -4y = -15 + 8y + -8y Combine like terms: 8y + -8y = 0 -39 + -4y = -15 + 0 -39 + -4y = -15 Add '39' to each side of the equation. -39 + 39 + -4y = -15 + 39 Combine like terms: -39 + 39 = 0 0 + -4y = -15 + 39 -4y = -15 + 39 Combine like terms: -15 + 39 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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