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Simplifying -53 + 7y + 3 = 3(4y + -2) + -9 Reorder the terms: -53 + 3 + 7y = 3(4y + -2) + -9 Combine like terms: -53 + 3 = -50 -50 + 7y = 3(4y + -2) + -9 Reorder the terms: -50 + 7y = 3(-2 + 4y) + -9 -50 + 7y = (-2 * 3 + 4y * 3) + -9 -50 + 7y = (-6 + 12y) + -9 Reorder the terms: -50 + 7y = -6 + -9 + 12y Combine like terms: -6 + -9 = -15 -50 + 7y = -15 + 12y Solving -50 + 7y = -15 + 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. -50 + 7y + -12y = -15 + 12y + -12y Combine like terms: 7y + -12y = -5y -50 + -5y = -15 + 12y + -12y Combine like terms: 12y + -12y = 0 -50 + -5y = -15 + 0 -50 + -5y = -15 Add '50' to each side of the equation. -50 + 50 + -5y = -15 + 50 Combine like terms: -50 + 50 = 0 0 + -5y = -15 + 50 -5y = -15 + 50 Combine like terms: -15 + 50 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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