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Simplifying -5(3y + 6) = -3(4y + -2) Reorder the terms: -5(6 + 3y) = -3(4y + -2) (6 * -5 + 3y * -5) = -3(4y + -2) (-30 + -15y) = -3(4y + -2) Reorder the terms: -30 + -15y = -3(-2 + 4y) -30 + -15y = (-2 * -3 + 4y * -3) -30 + -15y = (6 + -12y) Solving -30 + -15y = 6 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -30 + -15y + 12y = 6 + -12y + 12y Combine like terms: -15y + 12y = -3y -30 + -3y = 6 + -12y + 12y Combine like terms: -12y + 12y = 0 -30 + -3y = 6 + 0 -30 + -3y = 6 Add '30' to each side of the equation. -30 + 30 + -3y = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -3y = 6 + 30 -3y = 6 + 30 Combine like terms: 6 + 30 = 36 -3y = 36 Divide each side by '-3'. y = -12 Simplifying y = -12
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