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Simplifying -97 + 12y + 4 = 5(4y + -3) + -6 Reorder the terms: -97 + 4 + 12y = 5(4y + -3) + -6 Combine like terms: -97 + 4 = -93 -93 + 12y = 5(4y + -3) + -6 Reorder the terms: -93 + 12y = 5(-3 + 4y) + -6 -93 + 12y = (-3 * 5 + 4y * 5) + -6 -93 + 12y = (-15 + 20y) + -6 Reorder the terms: -93 + 12y = -15 + -6 + 20y Combine like terms: -15 + -6 = -21 -93 + 12y = -21 + 20y Solving -93 + 12y = -21 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -93 + 12y + -20y = -21 + 20y + -20y Combine like terms: 12y + -20y = -8y -93 + -8y = -21 + 20y + -20y Combine like terms: 20y + -20y = 0 -93 + -8y = -21 + 0 -93 + -8y = -21 Add '93' to each side of the equation. -93 + 93 + -8y = -21 + 93 Combine like terms: -93 + 93 = 0 0 + -8y = -21 + 93 -8y = -21 + 93 Combine like terms: -21 + 93 = 72 -8y = 72 Divide each side by '-8'. y = -9 Simplifying y = -9
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