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Simplifying 6(y + -3) = 2(19 + -1y) Reorder the terms: 6(-3 + y) = 2(19 + -1y) (-3 * 6 + y * 6) = 2(19 + -1y) (-18 + 6y) = 2(19 + -1y) -18 + 6y = (19 * 2 + -1y * 2) -18 + 6y = (38 + -2y) Solving -18 + 6y = 38 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -18 + 6y + 2y = 38 + -2y + 2y Combine like terms: 6y + 2y = 8y -18 + 8y = 38 + -2y + 2y Combine like terms: -2y + 2y = 0 -18 + 8y = 38 + 0 -18 + 8y = 38 Add '18' to each side of the equation. -18 + 18 + 8y = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 8y = 38 + 18 8y = 38 + 18 Combine like terms: 38 + 18 = 56 8y = 56 Divide each side by '8'. y = 7 Simplifying y = 7
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