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Simplifying 5(4y + -3) + -2(5 + -6y) = 192 + -23y Reorder the terms: 5(-3 + 4y) + -2(5 + -6y) = 192 + -23y (-3 * 5 + 4y * 5) + -2(5 + -6y) = 192 + -23y (-15 + 20y) + -2(5 + -6y) = 192 + -23y -15 + 20y + (5 * -2 + -6y * -2) = 192 + -23y -15 + 20y + (-10 + 12y) = 192 + -23y Reorder the terms: -15 + -10 + 20y + 12y = 192 + -23y Combine like terms: -15 + -10 = -25 -25 + 20y + 12y = 192 + -23y Combine like terms: 20y + 12y = 32y -25 + 32y = 192 + -23y Solving -25 + 32y = 192 + -23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23y' to each side of the equation. -25 + 32y + 23y = 192 + -23y + 23y Combine like terms: 32y + 23y = 55y -25 + 55y = 192 + -23y + 23y Combine like terms: -23y + 23y = 0 -25 + 55y = 192 + 0 -25 + 55y = 192 Add '25' to each side of the equation. -25 + 25 + 55y = 192 + 25 Combine like terms: -25 + 25 = 0 0 + 55y = 192 + 25 55y = 192 + 25 Combine like terms: 192 + 25 = 217 55y = 217 Divide each side by '55'. y = 3.945454545 Simplifying y = 3.945454545
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