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Simplifying -88 + 3y + 2 = 4(3y + -4) + -7 Reorder the terms: -88 + 2 + 3y = 4(3y + -4) + -7 Combine like terms: -88 + 2 = -86 -86 + 3y = 4(3y + -4) + -7 Reorder the terms: -86 + 3y = 4(-4 + 3y) + -7 -86 + 3y = (-4 * 4 + 3y * 4) + -7 -86 + 3y = (-16 + 12y) + -7 Reorder the terms: -86 + 3y = -16 + -7 + 12y Combine like terms: -16 + -7 = -23 -86 + 3y = -23 + 12y Solving -86 + 3y = -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. -86 + 3y + -12y = -23 + 12y + -12y Combine like terms: 3y + -12y = -9y -86 + -9y = -23 + 12y + -12y Combine like terms: 12y + -12y = 0 -86 + -9y = -23 + 0 -86 + -9y = -23 Add '86' to each side of the equation. -86 + 86 + -9y = -23 + 86 Combine like terms: -86 + 86 = 0 0 + -9y = -23 + 86 -9y = -23 + 86 Combine like terms: -23 + 86 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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