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Simplifying -46 + 14y + 7 = 6(3y + -3) + -5 Reorder the terms: -46 + 7 + 14y = 6(3y + -3) + -5 Combine like terms: -46 + 7 = -39 -39 + 14y = 6(3y + -3) + -5 Reorder the terms: -39 + 14y = 6(-3 + 3y) + -5 -39 + 14y = (-3 * 6 + 3y * 6) + -5 -39 + 14y = (-18 + 18y) + -5 Reorder the terms: -39 + 14y = -18 + -5 + 18y Combine like terms: -18 + -5 = -23 -39 + 14y = -23 + 18y Solving -39 + 14y = -23 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -39 + 14y + -18y = -23 + 18y + -18y Combine like terms: 14y + -18y = -4y -39 + -4y = -23 + 18y + -18y Combine like terms: 18y + -18y = 0 -39 + -4y = -23 + 0 -39 + -4y = -23 Add '39' to each side of the equation. -39 + 39 + -4y = -23 + 39 Combine like terms: -39 + 39 = 0 0 + -4y = -23 + 39 -4y = -23 + 39 Combine like terms: -23 + 39 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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