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Simplifying 10y + -5(3y + 1) = 8(y + -4) Reorder the terms: 10y + -5(1 + 3y) = 8(y + -4) 10y + (1 * -5 + 3y * -5) = 8(y + -4) 10y + (-5 + -15y) = 8(y + -4) Reorder the terms: -5 + 10y + -15y = 8(y + -4) Combine like terms: 10y + -15y = -5y -5 + -5y = 8(y + -4) Reorder the terms: -5 + -5y = 8(-4 + y) -5 + -5y = (-4 * 8 + y * 8) -5 + -5y = (-32 + 8y) Solving -5 + -5y = -32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -5 + -5y + -8y = -32 + 8y + -8y Combine like terms: -5y + -8y = -13y -5 + -13y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + -13y = -32 + 0 -5 + -13y = -32 Add '5' to each side of the equation. -5 + 5 + -13y = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -13y = -32 + 5 -13y = -32 + 5 Combine like terms: -32 + 5 = -27 -13y = -27 Divide each side by '-13'. y = 2.076923077 Simplifying y = 2.076923077
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