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Simplifying -69 + 6y + 3 = 4(3y + -5) + -4 Reorder the terms: -69 + 3 + 6y = 4(3y + -5) + -4 Combine like terms: -69 + 3 = -66 -66 + 6y = 4(3y + -5) + -4 Reorder the terms: -66 + 6y = 4(-5 + 3y) + -4 -66 + 6y = (-5 * 4 + 3y * 4) + -4 -66 + 6y = (-20 + 12y) + -4 Reorder the terms: -66 + 6y = -20 + -4 + 12y Combine like terms: -20 + -4 = -24 -66 + 6y = -24 + 12y Solving -66 + 6y = -24 + 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. -66 + 6y + -12y = -24 + 12y + -12y Combine like terms: 6y + -12y = -6y -66 + -6y = -24 + 12y + -12y Combine like terms: 12y + -12y = 0 -66 + -6y = -24 + 0 -66 + -6y = -24 Add '66' to each side of the equation. -66 + 66 + -6y = -24 + 66 Combine like terms: -66 + 66 = 0 0 + -6y = -24 + 66 -6y = -24 + 66 Combine like terms: -24 + 66 = 42 -6y = 42 Divide each side by '-6'. y = -7 Simplifying y = -7
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