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Simplifying 5(19 + -5y) + 2y = 2(19 + -5y) + 3y (19 * 5 + -5y * 5) + 2y = 2(19 + -5y) + 3y (95 + -25y) + 2y = 2(19 + -5y) + 3y Combine like terms: -25y + 2y = -23y 95 + -23y = 2(19 + -5y) + 3y 95 + -23y = (19 * 2 + -5y * 2) + 3y 95 + -23y = (38 + -10y) + 3y Combine like terms: -10y + 3y = -7y 95 + -23y = 38 + -7y Solving 95 + -23y = 38 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 95 + -23y + 7y = 38 + -7y + 7y Combine like terms: -23y + 7y = -16y 95 + -16y = 38 + -7y + 7y Combine like terms: -7y + 7y = 0 95 + -16y = 38 + 0 95 + -16y = 38 Add '-95' to each side of the equation. 95 + -95 + -16y = 38 + -95 Combine like terms: 95 + -95 = 0 0 + -16y = 38 + -95 -16y = 38 + -95 Combine like terms: 38 + -95 = -57 -16y = -57 Divide each side by '-16'. y = 3.5625 Simplifying y = 3.5625
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