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Simplifying 14(y + -3) = 10(5 + y) Reorder the terms: 14(-3 + y) = 10(5 + y) (-3 * 14 + y * 14) = 10(5 + y) (-42 + 14y) = 10(5 + y) -42 + 14y = (5 * 10 + y * 10) -42 + 14y = (50 + 10y) Solving -42 + 14y = 50 + 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. -42 + 14y + -10y = 50 + 10y + -10y Combine like terms: 14y + -10y = 4y -42 + 4y = 50 + 10y + -10y Combine like terms: 10y + -10y = 0 -42 + 4y = 50 + 0 -42 + 4y = 50 Add '42' to each side of the equation. -42 + 42 + 4y = 50 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = 50 + 42 4y = 50 + 42 Combine like terms: 50 + 42 = 92 4y = 92 Divide each side by '4'. y = 23 Simplifying y = 23
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