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Simplifying -4(y + 2) = 5y + -4 + 2(3y + 3) Reorder the terms: -4(2 + y) = 5y + -4 + 2(3y + 3) (2 * -4 + y * -4) = 5y + -4 + 2(3y + 3) (-8 + -4y) = 5y + -4 + 2(3y + 3) Reorder the terms: -8 + -4y = 5y + -4 + 2(3 + 3y) -8 + -4y = 5y + -4 + (3 * 2 + 3y * 2) -8 + -4y = 5y + -4 + (6 + 6y) Reorder the terms: -8 + -4y = -4 + 6 + 5y + 6y Combine like terms: -4 + 6 = 2 -8 + -4y = 2 + 5y + 6y Combine like terms: 5y + 6y = 11y -8 + -4y = 2 + 11y Solving -8 + -4y = 2 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -8 + -4y + -11y = 2 + 11y + -11y Combine like terms: -4y + -11y = -15y -8 + -15y = 2 + 11y + -11y Combine like terms: 11y + -11y = 0 -8 + -15y = 2 + 0 -8 + -15y = 2 Add '8' to each side of the equation. -8 + 8 + -15y = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -15y = 2 + 8 -15y = 2 + 8 Combine like terms: 2 + 8 = 10 -15y = 10 Divide each side by '-15'. y = -0.6666666667 Simplifying y = -0.6666666667
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