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Simplifying 5(3y + -4) = 11y + 6(y + 3) Reorder the terms: 5(-4 + 3y) = 11y + 6(y + 3) (-4 * 5 + 3y * 5) = 11y + 6(y + 3) (-20 + 15y) = 11y + 6(y + 3) Reorder the terms: -20 + 15y = 11y + 6(3 + y) -20 + 15y = 11y + (3 * 6 + y * 6) -20 + 15y = 11y + (18 + 6y) Reorder the terms: -20 + 15y = 18 + 11y + 6y Combine like terms: 11y + 6y = 17y -20 + 15y = 18 + 17y Solving -20 + 15y = 18 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -20 + 15y + -17y = 18 + 17y + -17y Combine like terms: 15y + -17y = -2y -20 + -2y = 18 + 17y + -17y Combine like terms: 17y + -17y = 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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