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Simplifying 5y + -1(8y + 10) = 7 + -1(13y + -4) Reorder the terms: 5y + -1(10 + 8y) = 7 + -1(13y + -4) 5y + (10 * -1 + 8y * -1) = 7 + -1(13y + -4) 5y + (-10 + -8y) = 7 + -1(13y + -4) Reorder the terms: -10 + 5y + -8y = 7 + -1(13y + -4) Combine like terms: 5y + -8y = -3y -10 + -3y = 7 + -1(13y + -4) Reorder the terms: -10 + -3y = 7 + -1(-4 + 13y) -10 + -3y = 7 + (-4 * -1 + 13y * -1) -10 + -3y = 7 + (4 + -13y) Combine like terms: 7 + 4 = 11 -10 + -3y = 11 + -13y Solving -10 + -3y = 11 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -10 + -3y + 13y = 11 + -13y + 13y Combine like terms: -3y + 13y = 10y -10 + 10y = 11 + -13y + 13y Combine like terms: -13y + 13y = 0 -10 + 10y = 11 + 0 -10 + 10y = 11 Add '10' to each side of the equation. -10 + 10 + 10y = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 10y = 11 + 10 10y = 11 + 10 Combine like terms: 11 + 10 = 21 10y = 21 Divide each side by '10'. y = 2.1 Simplifying y = 2.1
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