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Simplifying -47 + 8y + 3 = 3(4y + -4) + -8 Reorder the terms: -47 + 3 + 8y = 3(4y + -4) + -8 Combine like terms: -47 + 3 = -44 -44 + 8y = 3(4y + -4) + -8 Reorder the terms: -44 + 8y = 3(-4 + 4y) + -8 -44 + 8y = (-4 * 3 + 4y * 3) + -8 -44 + 8y = (-12 + 12y) + -8 Reorder the terms: -44 + 8y = -12 + -8 + 12y Combine like terms: -12 + -8 = -20 -44 + 8y = -20 + 12y Solving -44 + 8y = -20 + 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. -44 + 8y + -12y = -20 + 12y + -12y Combine like terms: 8y + -12y = -4y -44 + -4y = -20 + 12y + -12y Combine like terms: 12y + -12y = 0 -44 + -4y = -20 + 0 -44 + -4y = -20 Add '44' to each side of the equation. -44 + 44 + -4y = -20 + 44 Combine like terms: -44 + 44 = 0 0 + -4y = -20 + 44 -4y = -20 + 44 Combine like terms: -20 + 44 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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