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Simplifying 4(7y + -1) + -2 = 5y + 63 Reorder the terms: 4(-1 + 7y) + -2 = 5y + 63 (-1 * 4 + 7y * 4) + -2 = 5y + 63 (-4 + 28y) + -2 = 5y + 63 Reorder the terms: -4 + -2 + 28y = 5y + 63 Combine like terms: -4 + -2 = -6 -6 + 28y = 5y + 63 Reorder the terms: -6 + 28y = 63 + 5y Solving -6 + 28y = 63 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -6 + 28y + -5y = 63 + 5y + -5y Combine like terms: 28y + -5y = 23y -6 + 23y = 63 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + 23y = 63 + 0 -6 + 23y = 63 Add '6' to each side of the equation. -6 + 6 + 23y = 63 + 6 Combine like terms: -6 + 6 = 0 0 + 23y = 63 + 6 23y = 63 + 6 Combine like terms: 63 + 6 = 69 23y = 69 Divide each side by '23'. y = 3 Simplifying y = 3
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