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Simplifying 5 + -5(3y + 2) = -3(-2y + 8) + 6 Reorder the terms: 5 + -5(2 + 3y) = -3(-2y + 8) + 6 5 + (2 * -5 + 3y * -5) = -3(-2y + 8) + 6 5 + (-10 + -15y) = -3(-2y + 8) + 6 Combine like terms: 5 + -10 = -5 -5 + -15y = -3(-2y + 8) + 6 Reorder the terms: -5 + -15y = -3(8 + -2y) + 6 -5 + -15y = (8 * -3 + -2y * -3) + 6 -5 + -15y = (-24 + 6y) + 6 Reorder the terms: -5 + -15y = -24 + 6 + 6y Combine like terms: -24 + 6 = -18 -5 + -15y = -18 + 6y Solving -5 + -15y = -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. -5 + -15y + -6y = -18 + 6y + -6y Combine like terms: -15y + -6y = -21y -5 + -21y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + -21y = -18 + 0 -5 + -21y = -18 Add '5' to each side of the equation. -5 + 5 + -21y = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -21y = -18 + 5 -21y = -18 + 5 Combine like terms: -18 + 5 = -13 -21y = -13 Divide each side by '-21'. y = 0.619047619 Simplifying y = 0.619047619
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