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Simplifying -49 + 17y + 3 = 5(4y + -3) + -4 Reorder the terms: -49 + 3 + 17y = 5(4y + -3) + -4 Combine like terms: -49 + 3 = -46 -46 + 17y = 5(4y + -3) + -4 Reorder the terms: -46 + 17y = 5(-3 + 4y) + -4 -46 + 17y = (-3 * 5 + 4y * 5) + -4 -46 + 17y = (-15 + 20y) + -4 Reorder the terms: -46 + 17y = -15 + -4 + 20y Combine like terms: -15 + -4 = -19 -46 + 17y = -19 + 20y Solving -46 + 17y = -19 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -46 + 17y + -20y = -19 + 20y + -20y Combine like terms: 17y + -20y = -3y -46 + -3y = -19 + 20y + -20y Combine like terms: 20y + -20y = 0 -46 + -3y = -19 + 0 -46 + -3y = -19 Add '46' to each side of the equation. -46 + 46 + -3y = -19 + 46 Combine like terms: -46 + 46 = 0 0 + -3y = -19 + 46 -3y = -19 + 46 Combine like terms: -19 + 46 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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