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Simplifying -46 + 12y + 4 = 4(4y + -5) + -6 Reorder the terms: -46 + 4 + 12y = 4(4y + -5) + -6 Combine like terms: -46 + 4 = -42 -42 + 12y = 4(4y + -5) + -6 Reorder the terms: -42 + 12y = 4(-5 + 4y) + -6 -42 + 12y = (-5 * 4 + 4y * 4) + -6 -42 + 12y = (-20 + 16y) + -6 Reorder the terms: -42 + 12y = -20 + -6 + 16y Combine like terms: -20 + -6 = -26 -42 + 12y = -26 + 16y Solving -42 + 12y = -26 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -42 + 12y + -16y = -26 + 16y + -16y Combine like terms: 12y + -16y = -4y -42 + -4y = -26 + 16y + -16y Combine like terms: 16y + -16y = 0 -42 + -4y = -26 + 0 -42 + -4y = -26 Add '42' to each side of the equation. -42 + 42 + -4y = -26 + 42 Combine like terms: -42 + 42 = 0 0 + -4y = -26 + 42 -4y = -26 + 42 Combine like terms: -26 + 42 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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