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Simplifying -75 + 5y + 8 = 3(4y + -4) + -6 Reorder the terms: -75 + 8 + 5y = 3(4y + -4) + -6 Combine like terms: -75 + 8 = -67 -67 + 5y = 3(4y + -4) + -6 Reorder the terms: -67 + 5y = 3(-4 + 4y) + -6 -67 + 5y = (-4 * 3 + 4y * 3) + -6 -67 + 5y = (-12 + 12y) + -6 Reorder the terms: -67 + 5y = -12 + -6 + 12y Combine like terms: -12 + -6 = -18 -67 + 5y = -18 + 12y Solving -67 + 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. -67 + 5y + -12y = -18 + 12y + -12y Combine like terms: 5y + -12y = -7y -67 + -7y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 -67 + -7y = -18 + 0 -67 + -7y = -18 Add '67' to each side of the equation. -67 + 67 + -7y = -18 + 67 Combine like terms: -67 + 67 = 0 0 + -7y = -18 + 67 -7y = -18 + 67 Combine like terms: -18 + 67 = 49 -7y = 49 Divide each side by '-7'. y = -7 Simplifying y = -7
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