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Simplifying 6(y + 3) = 10(y + -3) Reorder the terms: 6(3 + y) = 10(y + -3) (3 * 6 + y * 6) = 10(y + -3) (18 + 6y) = 10(y + -3) Reorder the terms: 18 + 6y = 10(-3 + y) 18 + 6y = (-3 * 10 + y * 10) 18 + 6y = (-30 + 10y) Solving 18 + 6y = -30 + 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. 18 + 6y + -10y = -30 + 10y + -10y Combine like terms: 6y + -10y = -4y 18 + -4y = -30 + 10y + -10y Combine like terms: 10y + -10y = 0 18 + -4y = -30 + 0 18 + -4y = -30 Add '-18' to each side of the equation. 18 + -18 + -4y = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -4y = -30 + -18 -4y = -30 + -18 Combine like terms: -30 + -18 = -48 -4y = -48 Divide each side by '-4'. y = 12 Simplifying y = 12
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