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Simplifying 17(y + -3) = 4(y + 10) + -13 Reorder the terms: 17(-3 + y) = 4(y + 10) + -13 (-3 * 17 + y * 17) = 4(y + 10) + -13 (-51 + 17y) = 4(y + 10) + -13 Reorder the terms: -51 + 17y = 4(10 + y) + -13 -51 + 17y = (10 * 4 + y * 4) + -13 -51 + 17y = (40 + 4y) + -13 Reorder the terms: -51 + 17y = 40 + -13 + 4y Combine like terms: 40 + -13 = 27 -51 + 17y = 27 + 4y Solving -51 + 17y = 27 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -51 + 17y + -4y = 27 + 4y + -4y Combine like terms: 17y + -4y = 13y -51 + 13y = 27 + 4y + -4y Combine like terms: 4y + -4y = 0 -51 + 13y = 27 + 0 -51 + 13y = 27 Add '51' to each side of the equation. -51 + 51 + 13y = 27 + 51 Combine like terms: -51 + 51 = 0 0 + 13y = 27 + 51 13y = 27 + 51 Combine like terms: 27 + 51 = 78 13y = 78 Divide each side by '13'. y = 6 Simplifying y = 6
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