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Simplifying 5y + 16 = 6(2y + -2) Reorder the terms: 16 + 5y = 6(2y + -2) Reorder the terms: 16 + 5y = 6(-2 + 2y) 16 + 5y = (-2 * 6 + 2y * 6) 16 + 5y = (-12 + 12y) Solving 16 + 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. 16 + 5y + -12y = -12 + 12y + -12y Combine like terms: 5y + -12y = -7y 16 + -7y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 16 + -7y = -12 + 0 16 + -7y = -12 Add '-16' to each side of the equation. 16 + -16 + -7y = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -7y = -12 + -16 -7y = -12 + -16 Combine like terms: -12 + -16 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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