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Simplifying -51 + 17y + 8 = 5(4y + -3) + -4 Reorder the terms: -51 + 8 + 17y = 5(4y + -3) + -4 Combine like terms: -51 + 8 = -43 -43 + 17y = 5(4y + -3) + -4 Reorder the terms: -43 + 17y = 5(-3 + 4y) + -4 -43 + 17y = (-3 * 5 + 4y * 5) + -4 -43 + 17y = (-15 + 20y) + -4 Reorder the terms: -43 + 17y = -15 + -4 + 20y Combine like terms: -15 + -4 = -19 -43 + 17y = -19 + 20y Solving -43 + 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. -43 + 17y + -20y = -19 + 20y + -20y Combine like terms: 17y + -20y = -3y -43 + -3y = -19 + 20y + -20y Combine like terms: 20y + -20y = 0 -43 + -3y = -19 + 0 -43 + -3y = -19 Add '43' to each side of the equation. -43 + 43 + -3y = -19 + 43 Combine like terms: -43 + 43 = 0 0 + -3y = -19 + 43 -3y = -19 + 43 Combine like terms: -19 + 43 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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