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Simplifying 5(2y + -3) = (7y + -6) + 19(y + 1) + 14 Reorder the terms: 5(-3 + 2y) = (7y + -6) + 19(y + 1) + 14 (-3 * 5 + 2y * 5) = (7y + -6) + 19(y + 1) + 14 (-15 + 10y) = (7y + -6) + 19(y + 1) + 14 Reorder the terms: -15 + 10y = (-6 + 7y) + 19(y + 1) + 14 Remove parenthesis around (-6 + 7y) -15 + 10y = -6 + 7y + 19(y + 1) + 14 Reorder the terms: -15 + 10y = -6 + 7y + 19(1 + y) + 14 -15 + 10y = -6 + 7y + (1 * 19 + y * 19) + 14 -15 + 10y = -6 + 7y + (19 + 19y) + 14 Reorder the terms: -15 + 10y = -6 + 19 + 14 + 7y + 19y Combine like terms: -6 + 19 = 13 -15 + 10y = 13 + 14 + 7y + 19y Combine like terms: 13 + 14 = 27 -15 + 10y = 27 + 7y + 19y Combine like terms: 7y + 19y = 26y -15 + 10y = 27 + 26y Solving -15 + 10y = 27 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. -15 + 10y + -26y = 27 + 26y + -26y Combine like terms: 10y + -26y = -16y -15 + -16y = 27 + 26y + -26y Combine like terms: 26y + -26y = 0 -15 + -16y = 27 + 0 -15 + -16y = 27 Add '15' to each side of the equation. -15 + 15 + -16y = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -16y = 27 + 15 -16y = 27 + 15 Combine like terms: 27 + 15 = 42 -16y = 42 Divide each side by '-16'. y = -2.625 Simplifying y = -2.625
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