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Simplifying 3y + -5 + 2y + -2 = y + -0.5 + 0.6y + -1 Reorder the terms: -5 + -2 + 3y + 2y = y + -0.5 + 0.6y + -1 Combine like terms: -5 + -2 = -7 -7 + 3y + 2y = y + -0.5 + 0.6y + -1 Combine like terms: 3y + 2y = 5y -7 + 5y = y + -0.5 + 0.6y + -1 Reorder the terms: -7 + 5y = -0.5 + -1 + y + 0.6y Combine like terms: -0.5 + -1 = -1.5 -7 + 5y = -1.5 + y + 0.6y Combine like terms: y + 0.6y = 1.6y -7 + 5y = -1.5 + 1.6y Solving -7 + 5y = -1.5 + 1.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.6y' to each side of the equation. -7 + 5y + -1.6y = -1.5 + 1.6y + -1.6y Combine like terms: 5y + -1.6y = 3.4y -7 + 3.4y = -1.5 + 1.6y + -1.6y Combine like terms: 1.6y + -1.6y = 0.0 -7 + 3.4y = -1.5 + 0.0 -7 + 3.4y = -1.5 Add '7' to each side of the equation. -7 + 7 + 3.4y = -1.5 + 7 Combine like terms: -7 + 7 = 0 0 + 3.4y = -1.5 + 7 3.4y = -1.5 + 7 Combine like terms: -1.5 + 7 = 5.5 3.4y = 5.5 Divide each side by '3.4'. y = 1.617647059 Simplifying y = 1.617647059
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