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Simplifying 7y + -8 + 3y = 4y + 2(5y + -5) Reorder the terms: -8 + 7y + 3y = 4y + 2(5y + -5) Combine like terms: 7y + 3y = 10y -8 + 10y = 4y + 2(5y + -5) Reorder the terms: -8 + 10y = 4y + 2(-5 + 5y) -8 + 10y = 4y + (-5 * 2 + 5y * 2) -8 + 10y = 4y + (-10 + 10y) Reorder the terms: -8 + 10y = -10 + 4y + 10y Combine like terms: 4y + 10y = 14y -8 + 10y = -10 + 14y Solving -8 + 10y = -10 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -8 + 10y + -14y = -10 + 14y + -14y Combine like terms: 10y + -14y = -4y -8 + -4y = -10 + 14y + -14y Combine like terms: 14y + -14y = 0 -8 + -4y = -10 + 0 -8 + -4y = -10 Add '8' to each side of the equation. -8 + 8 + -4y = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = -10 + 8 -4y = -10 + 8 Combine like terms: -10 + 8 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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