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Simplifying 12(y + -1) + -4y = 3(y + -2) + 9y Reorder the terms: 12(-1 + y) + -4y = 3(y + -2) + 9y (-1 * 12 + y * 12) + -4y = 3(y + -2) + 9y (-12 + 12y) + -4y = 3(y + -2) + 9y Combine like terms: 12y + -4y = 8y -12 + 8y = 3(y + -2) + 9y Reorder the terms: -12 + 8y = 3(-2 + y) + 9y -12 + 8y = (-2 * 3 + y * 3) + 9y -12 + 8y = (-6 + 3y) + 9y Combine like terms: 3y + 9y = 12y -12 + 8y = -6 + 12y Solving -12 + 8y = -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. -12 + 8y + -12y = -6 + 12y + -12y Combine like terms: 8y + -12y = -4y -12 + -4y = -6 + 12y + -12y Combine like terms: 12y + -12y = 0 -12 + -4y = -6 + 0 -12 + -4y = -6 Add '12' to each side of the equation. -12 + 12 + -4y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = -6 + 12 -4y = -6 + 12 Combine like terms: -6 + 12 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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