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Simplifying -55 + 8y + 4 = 4(3y + -4) + -7 Reorder the terms: -55 + 4 + 8y = 4(3y + -4) + -7 Combine like terms: -55 + 4 = -51 -51 + 8y = 4(3y + -4) + -7 Reorder the terms: -51 + 8y = 4(-4 + 3y) + -7 -51 + 8y = (-4 * 4 + 3y * 4) + -7 -51 + 8y = (-16 + 12y) + -7 Reorder the terms: -51 + 8y = -16 + -7 + 12y Combine like terms: -16 + -7 = -23 -51 + 8y = -23 + 12y Solving -51 + 8y = -23 + 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. -51 + 8y + -12y = -23 + 12y + -12y Combine like terms: 8y + -12y = -4y -51 + -4y = -23 + 12y + -12y Combine like terms: 12y + -12y = 0 -51 + -4y = -23 + 0 -51 + -4y = -23 Add '51' to each side of the equation. -51 + 51 + -4y = -23 + 51 Combine like terms: -51 + 51 = 0 0 + -4y = -23 + 51 -4y = -23 + 51 Combine like terms: -23 + 51 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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