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Simplifying -58 + 5y + 5 = 4(3y + -3) + -6 Reorder the terms: -58 + 5 + 5y = 4(3y + -3) + -6 Combine like terms: -58 + 5 = -53 -53 + 5y = 4(3y + -3) + -6 Reorder the terms: -53 + 5y = 4(-3 + 3y) + -6 -53 + 5y = (-3 * 4 + 3y * 4) + -6 -53 + 5y = (-12 + 12y) + -6 Reorder the terms: -53 + 5y = -12 + -6 + 12y Combine like terms: -12 + -6 = -18 -53 + 5y = -18 + 12y Solving -53 + 5y = -18 + 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. -53 + 5y + -12y = -18 + 12y + -12y Combine like terms: 5y + -12y = -7y -53 + -7y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 -53 + -7y = -18 + 0 -53 + -7y = -18 Add '53' to each side of the equation. -53 + 53 + -7y = -18 + 53 Combine like terms: -53 + 53 = 0 0 + -7y = -18 + 53 -7y = -18 + 53 Combine like terms: -18 + 53 = 35 -7y = 35 Divide each side by '-7'. y = -5 Simplifying y = -5
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