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Simplifying 4(y + -5) = 6(y + 3) Reorder the terms: 4(-5 + y) = 6(y + 3) (-5 * 4 + y * 4) = 6(y + 3) (-20 + 4y) = 6(y + 3) Reorder the terms: -20 + 4y = 6(3 + y) -20 + 4y = (3 * 6 + y * 6) -20 + 4y = (18 + 6y) Solving -20 + 4y = 18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -20 + 4y + -6y = 18 + 6y + -6y Combine like terms: 4y + -6y = -2y -20 + -2y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 -20 + -2y = 18 + 0 -20 + -2y = 18 Add '20' to each side of the equation. -20 + 20 + -2y = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -2y = 18 + 20 -2y = 18 + 20 Combine like terms: 18 + 20 = 38 -2y = 38 Divide each side by '-2'. y = -19 Simplifying y = -19
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