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Simplifying 3(y + -3) + 5y = 5(y + -8) + -5(10 + -1y) Reorder the terms: 3(-3 + y) + 5y = 5(y + -8) + -5(10 + -1y) (-3 * 3 + y * 3) + 5y = 5(y + -8) + -5(10 + -1y) (-9 + 3y) + 5y = 5(y + -8) + -5(10 + -1y) Combine like terms: 3y + 5y = 8y -9 + 8y = 5(y + -8) + -5(10 + -1y) Reorder the terms: -9 + 8y = 5(-8 + y) + -5(10 + -1y) -9 + 8y = (-8 * 5 + y * 5) + -5(10 + -1y) -9 + 8y = (-40 + 5y) + -5(10 + -1y) -9 + 8y = -40 + 5y + (10 * -5 + -1y * -5) -9 + 8y = -40 + 5y + (-50 + 5y) Reorder the terms: -9 + 8y = -40 + -50 + 5y + 5y Combine like terms: -40 + -50 = -90 -9 + 8y = -90 + 5y + 5y Combine like terms: 5y + 5y = 10y -9 + 8y = -90 + 10y Solving -9 + 8y = -90 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -9 + 8y + -10y = -90 + 10y + -10y Combine like terms: 8y + -10y = -2y -9 + -2y = -90 + 10y + -10y Combine like terms: 10y + -10y = 0 -9 + -2y = -90 + 0 -9 + -2y = -90 Add '9' to each side of the equation. -9 + 9 + -2y = -90 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = -90 + 9 -2y = -90 + 9 Combine like terms: -90 + 9 = -81 -2y = -81 Divide each side by '-2'. y = 40.5 Simplifying y = 40.5
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