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Simplifying -58 + 5y + 4 = 3(4y + -3) + -3 Reorder the terms: -58 + 4 + 5y = 3(4y + -3) + -3 Combine like terms: -58 + 4 = -54 -54 + 5y = 3(4y + -3) + -3 Reorder the terms: -54 + 5y = 3(-3 + 4y) + -3 -54 + 5y = (-3 * 3 + 4y * 3) + -3 -54 + 5y = (-9 + 12y) + -3 Reorder the terms: -54 + 5y = -9 + -3 + 12y Combine like terms: -9 + -3 = -12 -54 + 5y = -12 + 12y Solving -54 + 5y = -12 + 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. -54 + 5y + -12y = -12 + 12y + -12y Combine like terms: 5y + -12y = -7y -54 + -7y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -54 + -7y = -12 + 0 -54 + -7y = -12 Add '54' to each side of the equation. -54 + 54 + -7y = -12 + 54 Combine like terms: -54 + 54 = 0 0 + -7y = -12 + 54 -7y = -12 + 54 Combine like terms: -12 + 54 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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