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Simplifying 8(y + 3) = 10(y + -2) Reorder the terms: 8(3 + y) = 10(y + -2) (3 * 8 + y * 8) = 10(y + -2) (24 + 8y) = 10(y + -2) Reorder the terms: 24 + 8y = 10(-2 + y) 24 + 8y = (-2 * 10 + y * 10) 24 + 8y = (-20 + 10y) Solving 24 + 8y = -20 + 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. 24 + 8y + -10y = -20 + 10y + -10y Combine like terms: 8y + -10y = -2y 24 + -2y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + -2y = -20 + 0 24 + -2y = -20 Add '-24' to each side of the equation. 24 + -24 + -2y = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -2y = -20 + -24 -2y = -20 + -24 Combine like terms: -20 + -24 = -44 -2y = -44 Divide each side by '-2'. y = 22 Simplifying y = 22
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