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Simplifying -7(6y + -3) = 3y + 9y + -7 Reorder the terms: -7(-3 + 6y) = 3y + 9y + -7 (-3 * -7 + 6y * -7) = 3y + 9y + -7 (21 + -42y) = 3y + 9y + -7 Reorder the terms: 21 + -42y = -7 + 3y + 9y Combine like terms: 3y + 9y = 12y 21 + -42y = -7 + 12y Solving 21 + -42y = -7 + 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. 21 + -42y + -12y = -7 + 12y + -12y Combine like terms: -42y + -12y = -54y 21 + -54y = -7 + 12y + -12y Combine like terms: 12y + -12y = 0 21 + -54y = -7 + 0 21 + -54y = -7 Add '-21' to each side of the equation. 21 + -21 + -54y = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -54y = -7 + -21 -54y = -7 + -21 Combine like terms: -7 + -21 = -28 -54y = -28 Divide each side by '-54'. y = 0.5185185185 Simplifying y = 0.5185185185
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